On the nonexistence of elements of Kervaire invariant one. Zbl 1366.55007
Hill, M. A.; Hopkins, M. J.; Ravenel, D. C. |
|
2016
|
Quadratic functions in geometry, topology, and \(M\)-theory. Zbl 1116.58018
Hopkins, M. J.; Singer, I. M. |
|
2005
|
Moduli spaces of commutative ring spectra. Zbl 1086.55006
Goerss, P. G.; Hopkins, M. J. |
|
2004
|
Nilpotence and stable homotopy theory. I. Zbl 0673.55008
Devinatz, Ethan S.; Hopkins, Michael J.; Smith, Jeffrey H. |
|
1988
|
Reflection positivity and invertible topological phases. Zbl 1508.81953
Freed, Daniel S.; Hopkins, Michael J. |
|
2021
|
Generalized group characters and complex oriented cohomology theories. Zbl 1007.55004
Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C. |
|
2000
|
Nilpotence and stable homotopy theory. II. Zbl 0927.55015
Hopkins, Michael J.; Smith, Jeffrey H. |
|
1998
|
Global methods in homotopy theory. Zbl 0657.55008
Hopkins, Michael J. |
|
1987
|
Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups. Zbl 1047.55004
Devinatz, Ethan S.; Hopkins, Michael J. |
|
2004
|
Nilpotence and stable homotopy theory. II. Zbl 0924.55010
Hopkins, Michael J.; Smith, Jeffrey H. |
|
1998
|
Loop groups and twisted \(K\)-theory I. Zbl 1241.19002
Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin |
|
2011
|
Elliptic spectra, the Witten genus and the theorem of the cube. Zbl 1031.55005
Ando, M.; Hopkins, M. J.; Strickland, N. P. |
|
2001
|
Twisted equivariant \(K\)-theory with complex coefficients. Zbl 1188.19005
Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin |
|
2008
|
Algebraic topology and modular forms. Zbl 1031.55007
Hopkins, M. J. |
|
2002
|
Equivariant vector bundles on the Lubin-Tate moduli space. Zbl 0807.14037
Hopkins, M. J.; Gross, B. H. |
|
1994
|
Constructions of elements in Picard groups. Zbl 0799.55005
Hopkins, Michael J.; Mahowald, Mark; Sadofsky, Hal |
|
1994
|
On Ramond-Ramond fields and \(K\)-theory. Zbl 0990.81624
Freed, Daniel S.; Hopkins, Michael |
|
2000
|
Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory. Zbl 1316.55005
Ando, Matthew; Blumberg, Andrew J.; Gepner, David; Hopkins, Michael J.; Rezk, Charles |
|
2014
|
Loop groups and twisted \(K\)-theory. II. Zbl 1273.22015
Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin |
|
2013
|
An \(\infty\)-categorical approach to \(R\)-line bundles, \(R\)-module Thom spectra, and twisted \(R\)-homology. Zbl 1312.55011
Ando, Matthew; Blumberg, Andrew J.; Gepner, David; Hopkins, Michael J.; Rezk, Charles |
|
2014
|
Splitting varieties for triple Massey products. Zbl 1323.55014
Hopkins, Michael J.; Wickelgren, Kirsten G. |
|
2015
|
Topological quantum field theories from compact Lie groups. Zbl 1232.57022
Freed, Daniel S.; Hopkins, Michael J.; Lurie, Jacob; Teleman, Constantin |
|
2010
|
Loop groups and twisted \(K\)-theory. III. Zbl 1239.19002
Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin |
|
2011
|
Topological modular forms, the Witten genus, and the theorem of the cube. Zbl 0848.55002
Hopkins, Michael J. |
|
1995
|
The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory. Zbl 0857.55003
Hopkins, M. J.; Gross, B. H. |
|
1994
|
The homotopy theory of cyclic sets. Zbl 0594.55020
Dwyer, W. G.; Hopkins, M. J.; Kan, D. M. |
|
1985
|
From elliptic curves to homotopy theory. Zbl 1328.55013
Hopkins, Michael J.; Mahowald, Mark |
|
2014
|
The action of the Morava stabilizer group on the Lubin-Tate moduli space of lifts. Zbl 0842.14034
Devinatz, Ethan S.; Hopkins, Michael J. |
|
1995
|
The sigma orientation is an \(H_\infty\) map. Zbl 1071.55003
Ando, Matthew; Hopkins, Michael J.; Strickland, Neil P. |
|
2004
|
Spin cobordism determines real K-theory. Zbl 0770.55008
Hopkins, Michael J.; Hovey, Mark A. |
|
1992
|
Chern-Weil forms and abstract homotopy theory. Zbl 1281.58001
Freed, Daniel S.; Hopkins, Michael J. |
|
2013
|
André-Quillen (co-)homology for simplicial algebras over simplicial operads. Zbl 0999.18009
Goerss, Paul G.; Hopkins, Michael J. |
|
2000
|
On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. |
|
2014
|
Consistent orientation of moduli spaces. Zbl 1257.19004
Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin |
|
2010
|
On the existence of a \(v_2^{32}\)-self map on \(M(1,4)\) at the prime 2. Zbl 1162.55010
Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. |
|
2008
|
\(K(1)\)-local \(E_\infty\)-ring spectra. Zbl 1328.55018
Hopkins, Michael J. |
|
2014
|
Morava \(K\)-theories of classifying spaces and generalized characters for finite groups. Zbl 0757.55006
Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C. |
|
1992
|
The slice spectral sequence for the \(C_{4}\) analog of real \(K\)-theory. Zbl 1362.55009
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. |
|
2017
|
Consistency of M-theory on non-orientable manifolds. Zbl 1479.81060
Freed, Daniel S.; Hopkins, Michael J. |
|
2021
|
Equivariant multiplicative closure. Zbl 1342.55007
Hill, M. A.; Hopkins, M. J. |
|
2014
|
Detecting exotic spheres in low dimensions using coker \(J\). Zbl 1460.55017
Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. |
|
2020
|
Nilpotence and finite H-spaces. Zbl 0684.55007
Hopkins, Michael J. |
|
1989
|
On the structure of spaces representing a Landweber exact cohomology theory. Zbl 0862.55005
Hopkins, M. J.; Hunton, J. R. |
|
1995
|
Suspension spectra are harmonic. Zbl 0838.55010
Hopkins, Michael J.; Ravenel, Douglas C. |
|
1992
|
The Arf-Kervaire problem in algebraic topology: sketch of the proof. Zbl 1249.55005
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. |
|
2011
|
Strictly commutative complex orientation theory. Zbl 1417.55012
Hopkins, Michael J.; Lawson, Tyler |
|
2018
|
The structure of 24 dimensional manifolds having normal bundles which lift to \(\text{BO}[8]\). Zbl 1012.57041
Mahowald, Mark; Hopkins, Michael J. |
|
2002
|
The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. |
|
2010
|
Vanishing lines in generalized Adams spectral sequences are generic. Zbl 0920.55020
Hopkins, M. J.; Palmieri, J. H.; Smith, J. H. |
|
1999
|
Morava Hopf algebras and spaces \(K(n)\) equivalent to finite Postnikov systems. Zbl 0902.55001
Hopkins, Michael J.; Ravenel, Douglas C.; Wilson, W. Stephen |
|
1998
|
Hodge filtered complex bordism. Zbl 1349.32009
Hopkins, Michael J.; Quick, Gereon |
|
2015
|
Formulations of cocategory and the iterated suspension. Zbl 0559.55013
Hopkins, M. J. |
|
1984
|
Elliptic curves and stable homotopy. I. Zbl 1328.55008
Hopkins, Michael J.; Miller, Haynes R. |
|
2014
|
Equivariant stable homotopy theory and the Kervaire invariant problem. Zbl 1484.55001
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. |
|
2021
|
The slice spectral sequence for certain \(RO(C_{p^n})\)-graded suspensions of \(H\underline{\mathbb{Z}}\). Zbl 1379.55013
Hill, Michael A.; Hopkins, M. J.; Ravenel, D. C. |
|
2017
|
Formal geometry and bordism operations. With appendices by Nathaniel Stapleton and Michael Hopkins. Zbl 1505.55001
Peterson, Eric |
|
2019
|
Obstructions to algebraizing topological vector bundles. Zbl 1504.14043
Asok, A.; Fasel, J.; Hopkins, M. J. |
|
2019
|
Characters and elliptic cohomology. Zbl 0729.55003
Hopkins, Michael J. |
|
1989
|
The mathematical work of Douglas C. Ravenel. Zbl 1157.55301
Hopkins, Michael J. |
|
2008
|
Intersection forms of spin 4-manifolds and the \(\operatorname{Pin}(2)\)-equivariant Mahowald invariant. Zbl 1546.57047
Hopkins, Michael J.; Lin, Jianfeng; Shi, Xiaolin Danny; Xu, Zhouli |
|
2022
|
Invertible phases of matter with spatial symmetry. Zbl 1527.81101
Freed, Daniel S.; Hopkins, Michael J. |
|
2020
|
Current developments in mathematics, 1995. Lectures of a seminar, held in Boston, MA, USA, May 7-8, 1995. Zbl 0833.00016
Bott, Raoul |
|
1995
|
Higher real \(K\)-theories and topological automorphic forms. Zbl 1254.55001
Behrens, M.; Hopkins, M. J. |
|
2011
|
Dualizing spheres for compact \(p\)-adic analytic groups and duality in chromatic homotopy. Zbl 1504.55011
Beaudry, Agnès; Goerss, Paul G.; Hopkins, Michael J.; Stojanoska, Vesna |
|
2022
|
A variant of \(K\)-theory: \(K_\pm\). Zbl 1090.19004
Atiyah, Michael; Hopkins, Michael |
|
2004
|
From spectra to stacks. Zbl 1328.55016
Hopkins, Michael J. |
|
2014
|
A nilpotence theorem for modules over the mod 2 Steenrod algebra. Zbl 0801.55011
Hopkins, Michael J.; Palmieri, John H. |
|
1993
|
Localization and nilpotent spaces in \(\mathbb{A}^1\)-homotopy theory. Zbl 1495.14035
Asok, Aravind; Fasel, Jean; Hopkins, Michael J. |
|
2022
|
Comparing dualities in the \(K(n)\)-local category. Zbl 1490.55003
Goerss, Paul G.; Hopkins, Michael J. |
|
2022
|
Intersection forms of spin 4-manifolds and the \(\operatorname{Pin}(2)\)-equivariant Mahowald invariant. Zbl 1546.57047
Hopkins, Michael J.; Lin, Jianfeng; Shi, Xiaolin Danny; Xu, Zhouli |
|
2022
|
Dualizing spheres for compact \(p\)-adic analytic groups and duality in chromatic homotopy. Zbl 1504.55011
Beaudry, Agnès; Goerss, Paul G.; Hopkins, Michael J.; Stojanoska, Vesna |
|
2022
|
Localization and nilpotent spaces in \(\mathbb{A}^1\)-homotopy theory. Zbl 1495.14035
Asok, Aravind; Fasel, Jean; Hopkins, Michael J. |
|
2022
|
Comparing dualities in the \(K(n)\)-local category. Zbl 1490.55003
Goerss, Paul G.; Hopkins, Michael J. |
|
2022
|
Reflection positivity and invertible topological phases. Zbl 1508.81953
Freed, Daniel S.; Hopkins, Michael J. |
|
2021
|
Consistency of M-theory on non-orientable manifolds. Zbl 1479.81060
Freed, Daniel S.; Hopkins, Michael J. |
|
2021
|
Equivariant stable homotopy theory and the Kervaire invariant problem. Zbl 1484.55001
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. |
|
2021
|
Detecting exotic spheres in low dimensions using coker \(J\). Zbl 1460.55017
Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. |
|
2020
|
Invertible phases of matter with spatial symmetry. Zbl 1527.81101
Freed, Daniel S.; Hopkins, Michael J. |
|
2020
|
Formal geometry and bordism operations. With appendices by Nathaniel Stapleton and Michael Hopkins. Zbl 1505.55001
Peterson, Eric |
|
2019
|
Obstructions to algebraizing topological vector bundles. Zbl 1504.14043
Asok, A.; Fasel, J.; Hopkins, M. J. |
|
2019
|
Strictly commutative complex orientation theory. Zbl 1417.55012
Hopkins, Michael J.; Lawson, Tyler |
|
2018
|
The slice spectral sequence for the \(C_{4}\) analog of real \(K\)-theory. Zbl 1362.55009
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. |
|
2017
|
The slice spectral sequence for certain \(RO(C_{p^n})\)-graded suspensions of \(H\underline{\mathbb{Z}}\). Zbl 1379.55013
Hill, Michael A.; Hopkins, M. J.; Ravenel, D. C. |
|
2017
|
On the nonexistence of elements of Kervaire invariant one. Zbl 1366.55007
Hill, M. A.; Hopkins, M. J.; Ravenel, D. C. |
|
2016
|
Splitting varieties for triple Massey products. Zbl 1323.55014
Hopkins, Michael J.; Wickelgren, Kirsten G. |
|
2015
|
Hodge filtered complex bordism. Zbl 1349.32009
Hopkins, Michael J.; Quick, Gereon |
|
2015
|
Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory. Zbl 1316.55005
Ando, Matthew; Blumberg, Andrew J.; Gepner, David; Hopkins, Michael J.; Rezk, Charles |
|
2014
|
An \(\infty\)-categorical approach to \(R\)-line bundles, \(R\)-module Thom spectra, and twisted \(R\)-homology. Zbl 1312.55011
Ando, Matthew; Blumberg, Andrew J.; Gepner, David; Hopkins, Michael J.; Rezk, Charles |
|
2014
|
From elliptic curves to homotopy theory. Zbl 1328.55013
Hopkins, Michael J.; Mahowald, Mark |
|
2014
|
On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. |
|
2014
|
\(K(1)\)-local \(E_\infty\)-ring spectra. Zbl 1328.55018
Hopkins, Michael J. |
|
2014
|
Equivariant multiplicative closure. Zbl 1342.55007
Hill, M. A.; Hopkins, M. J. |
|
2014
|
Elliptic curves and stable homotopy. I. Zbl 1328.55008
Hopkins, Michael J.; Miller, Haynes R. |
|
2014
|
From spectra to stacks. Zbl 1328.55016
Hopkins, Michael J. |
|
2014
|
Loop groups and twisted \(K\)-theory. II. Zbl 1273.22015
Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin |
|
2013
|
Chern-Weil forms and abstract homotopy theory. Zbl 1281.58001
Freed, Daniel S.; Hopkins, Michael J. |
|
2013
|
Loop groups and twisted \(K\)-theory I. Zbl 1241.19002
Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin |
|
2011
|
Loop groups and twisted \(K\)-theory. III. Zbl 1239.19002
Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin |
|
2011
|
The Arf-Kervaire problem in algebraic topology: sketch of the proof. Zbl 1249.55005
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. |
|
2011
|
Higher real \(K\)-theories and topological automorphic forms. Zbl 1254.55001
Behrens, M.; Hopkins, M. J. |
|
2011
|
Topological quantum field theories from compact Lie groups. Zbl 1232.57022
Freed, Daniel S.; Hopkins, Michael J.; Lurie, Jacob; Teleman, Constantin |
|
2010
|
Consistent orientation of moduli spaces. Zbl 1257.19004
Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin |
|
2010
|
The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. |
|
2010
|
Twisted equivariant \(K\)-theory with complex coefficients. Zbl 1188.19005
Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin |
|
2008
|
On the existence of a \(v_2^{32}\)-self map on \(M(1,4)\) at the prime 2. Zbl 1162.55010
Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. |
|
2008
|
The mathematical work of Douglas C. Ravenel. Zbl 1157.55301
Hopkins, Michael J. |
|
2008
|
Quadratic functions in geometry, topology, and \(M\)-theory. Zbl 1116.58018
Hopkins, M. J.; Singer, I. M. |
|
2005
|
Moduli spaces of commutative ring spectra. Zbl 1086.55006
Goerss, P. G.; Hopkins, M. J. |
|
2004
|
Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups. Zbl 1047.55004
Devinatz, Ethan S.; Hopkins, Michael J. |
|
2004
|
The sigma orientation is an \(H_\infty\) map. Zbl 1071.55003
Ando, Matthew; Hopkins, Michael J.; Strickland, Neil P. |
|
2004
|
A variant of \(K\)-theory: \(K_\pm\). Zbl 1090.19004
Atiyah, Michael; Hopkins, Michael |
|
2004
|
Algebraic topology and modular forms. Zbl 1031.55007
Hopkins, M. J. |
|
2002
|
The structure of 24 dimensional manifolds having normal bundles which lift to \(\text{BO}[8]\). Zbl 1012.57041
Mahowald, Mark; Hopkins, Michael J. |
|
2002
|
Elliptic spectra, the Witten genus and the theorem of the cube. Zbl 1031.55005
Ando, M.; Hopkins, M. J.; Strickland, N. P. |
|
2001
|
Generalized group characters and complex oriented cohomology theories. Zbl 1007.55004
Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C. |
|
2000
|
On Ramond-Ramond fields and \(K\)-theory. Zbl 0990.81624
Freed, Daniel S.; Hopkins, Michael |
|
2000
|
André-Quillen (co-)homology for simplicial algebras over simplicial operads. Zbl 0999.18009
Goerss, Paul G.; Hopkins, Michael J. |
|
2000
|
Vanishing lines in generalized Adams spectral sequences are generic. Zbl 0920.55020
Hopkins, M. J.; Palmieri, J. H.; Smith, J. H. |
|
1999
|
Nilpotence and stable homotopy theory. II. Zbl 0927.55015
Hopkins, Michael J.; Smith, Jeffrey H. |
|
1998
|
Nilpotence and stable homotopy theory. II. Zbl 0924.55010
Hopkins, Michael J.; Smith, Jeffrey H. |
|
1998
|
Morava Hopf algebras and spaces \(K(n)\) equivalent to finite Postnikov systems. Zbl 0902.55001
Hopkins, Michael J.; Ravenel, Douglas C.; Wilson, W. Stephen |
|
1998
|
Topological modular forms, the Witten genus, and the theorem of the cube. Zbl 0848.55002
Hopkins, Michael J. |
|
1995
|
The action of the Morava stabilizer group on the Lubin-Tate moduli space of lifts. Zbl 0842.14034
Devinatz, Ethan S.; Hopkins, Michael J. |
|
1995
|
On the structure of spaces representing a Landweber exact cohomology theory. Zbl 0862.55005
Hopkins, M. J.; Hunton, J. R. |
|
1995
|
Current developments in mathematics, 1995. Lectures of a seminar, held in Boston, MA, USA, May 7-8, 1995. Zbl 0833.00016
Bott, Raoul |
|
1995
|
Equivariant vector bundles on the Lubin-Tate moduli space. Zbl 0807.14037
Hopkins, M. J.; Gross, B. H. |
|
1994
|
Constructions of elements in Picard groups. Zbl 0799.55005
Hopkins, Michael J.; Mahowald, Mark; Sadofsky, Hal |
|
1994
|
The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory. Zbl 0857.55003
Hopkins, M. J.; Gross, B. H. |
|
1994
|
A nilpotence theorem for modules over the mod 2 Steenrod algebra. Zbl 0801.55011
Hopkins, Michael J.; Palmieri, John H. |
|
1993
|
Spin cobordism determines real K-theory. Zbl 0770.55008
Hopkins, Michael J.; Hovey, Mark A. |
|
1992
|
Morava \(K\)-theories of classifying spaces and generalized characters for finite groups. Zbl 0757.55006
Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C. |
|
1992
|
Suspension spectra are harmonic. Zbl 0838.55010
Hopkins, Michael J.; Ravenel, Douglas C. |
|
1992
|
Nilpotence and finite H-spaces. Zbl 0684.55007
Hopkins, Michael J. |
|
1989
|
Characters and elliptic cohomology. Zbl 0729.55003
Hopkins, Michael J. |
|
1989
|
Nilpotence and stable homotopy theory. I. Zbl 0673.55008
Devinatz, Ethan S.; Hopkins, Michael J.; Smith, Jeffrey H. |
|
1988
|
Global methods in homotopy theory. Zbl 0657.55008
Hopkins, Michael J. |
|
1987
|
The homotopy theory of cyclic sets. Zbl 0594.55020
Dwyer, W. G.; Hopkins, M. J.; Kan, D. M. |
|
1985
|
Formulations of cocategory and the iterated suspension. Zbl 0559.55013
Hopkins, M. J. |
|
1984
|