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Xiao-Song Lin - Author Profile - zbMATH Open

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Lin, Xiao-Song (b. 1957 d. 2007)

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Co-Authors

17	single-authored
8	Kalfagianni, Efstratia
6	Dasbach, Oliver T.
5	Wang, Zhenghan
3	Chung, Jaewook
2	Futer, David
2	Habegger, Nathan
2	Hernández, Lisa
2	Stoltzfus, Neal W.
2	Tian, Jianjun
2	Zheng, Hao
1	Andersen, Jørgen Ellegaard
1	Au, Thomas Kwok-Keung
1	Bar-Natan, Dror
1	Baseilhac, Stéphane
1	Benedetti, Riccardo
1	Benham, Craig John
1	Birman, Joan S.
1	Boileau, Michel Charles
1	Carter, J. Scott
1	Deloup, Florian L.
1	Dunfield, Nathan M.
1	Fenn, Roger Andrew
1	Ferrand, Emmanuel
1	Freedman, Michael Hartley
1	Garoufalidis, Stavros
1	Gilman, Jane P.
1	Goussarov, Mikhail
1	Greenwood, Matt
1	Guadagnini, Enore
1	Habiro, H.
1	Hansen, Søren Kold
1	Harikae, Toshio
1	Jiang, Boju
1	Jones, Vaughan Frederick Randal
1	Kalfalgianni, E.
1	Kashaev, Rinat M.
1	Kawahigashi, Yasuyuki
1	Kerler, Thomas
1	Kidwell, Mark Elliot
1	Kofman, Ilya
1	Kohno, Toshitake
1	Kricker, Andrew
1	Le, Thang Tu Quoc
1	Le, Thang D.
1	Lescop, Christine
1	Masbaum, Gregor
1	Massuyeau, Gwénaël
1	Menasco, William W.
1	Morton, Hugh R.
1	Murakami, Hitoshi
1	Murakami, Jun
1	Nakanishi, Yasutaka
1	Nelson, Sam
1	Ohtsuki, Tomotada
1	Ohyama, Yoshiyuki
1	Okamoto, Miyuki
1	Okuda, Nobuki
1	Pilo, Luigi
1	Polyak, Michael
1	Przytycki, Józef Henryk
1	Roberts, Justin
1	Rourke, Colin P.
1	Rozansky, Lev
1	Sanderson, Brian J.
1	Sato, Nobuya
1	Stanford, Theodore B.
1	Stoimenow, Alexander
1	Takata, Toshie
1	Thurston, Dylan Paul
1	Tian, Jianjun Paul
1	Turaev, Vladimir Georgievich
1	Viro, Oleg Ya.
1	Wang, Shi Cheng
1	Willerton, Simon
1	Wu, Yingqing
1	Yokota, Yoshiyuki

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 784 times in 673 Documents	Cited by ▼	Year ▼
Knot polynomials and Vassiliev’s invariants. Zbl 0812.57011 Birman, Joan S.; Lin, Xiao-Song	155	1993
Representations of knot groups and twisted Alexander polynomials. Zbl 0986.57003 Lin, Xiao Song	105	2001
The classification of links up to link-homotopy. Zbl 0704.57016 Habegger, Nathan; Lin, Xiao-Song	81	1990
The Jones polynomial and graphs on surfaces. Zbl 1135.05015 Dasbach, Oliver T.; Futer, David; Kalfagianni, Efstratia; Lin, Xiao-Song; Stoltzfus, Neal W.	76	2008
On the Hecke algebras and the colored HOMFLY polynomial. Zbl 1193.57006 Lin, Xiao-Song; Zheng, Hao	50	2010
On the head and the tail of the colored Jones polynomial. Zbl 1106.57008 Dasbach, Oliver T.; Lin, Xiao-Song	39	2006
A knot invariant via representation spaces. Zbl 0774.57007 Lin, Xiao-Song	33	1992
A volumish theorem for the Jones polynomial of alternating knots. Zbl 1166.57002 Dasbach, Oliver T.; Lin, Xiao-Song	30	2007
Alternating sum formulae for the determinant and other link invariants. Zbl 1200.57008 Dasbach, Oliver T.; Futer, David; Kalfagianni, Efstratia; Lin, Xiao-Song; Stoltzfus, Neal W.	19	2010
Knot adjacency, genus and essential tori. Zbl 1123.57007 Kalfagianni, Efstratia; Lin, Xiao-Song	19	2006
On link concordance and Milnor’s \(\overline{\mu}\) invariants. Zbl 0936.57006 Habegger, Nathan; Lin, Xiao-Song	16	1998
Power series expansions and invariants of links. Zbl 0897.57006 Lin, Xiao-Song	15	1997
Finite type link invariants of 3-manifolds. Zbl 0816.57013 Lin, Xiao-Song	13	1994
Integral geometry of plane curves and knot invariants. Zbl 0937.53006 Lin, Xiao-Song; Wang, Zhenghan	12	1996
Knot adjacency and satellites. Zbl 1045.57002 Kalfagianni, E.; Lin, X.-S.	10	2004
Burau representation and random walks on string links. Zbl 0903.57003 Lin, Xiao-Song; Tian, Feng; Wang, Zhenghan	10	1998
On the \((A,B)\)-slice problem. Zbl 0845.57016 Freedman, Michael H.; Lin, Xiao-Song	9	1989
The HOMFLY polynomial for links in rational homology 3-spheres. Zbl 0961.57005 Kalfagianni, Efstratia; Lin, Xiao-Song	9	1999
Achirality of knots and links. Zbl 0992.57004 Jiang, Boju; Lin, Xiao-Song; Wang, Shicheng; Wu, Ying-Qing	9	2002
On the root classes of mapping. Zbl 0618.55001 Lin, Xiaosong	8	1986
Random walk on knot diagrams, colored Jones polynomial and Ihara-Selberg zeta function. Zbl 0992.57001 Lin, Xiao-Song; Wang, Zhenghan	7	2001
On Ohtsuki’s invariants of integral homology 3-spheres. Zbl 0936.57011 Lin, Xiaosong; Wang, Zhenghan	5	1999
Quantum morphing and the Jones polynomial. Zbl 0991.57012 Dasbach, Oliver T.; Le, Thang D.; Lin, Xiao-Song	4	2001
On generalized knot groups. Zbl 1156.57008 Lin, Xiao-Song; Nelson, Sam	4	2008
Continuous time Markov processes on graphs. Zbl 1113.60071 Tian, Jianjun; Lin, Xiao-Song	4	2006
Null k-cobordant links in \(S^ 3\). Zbl 0734.57009 Lin, Xiao-Song	4	1991
Subspaces of knot spaces. Zbl 0978.57005 Benham, Craig; Lin, Xiao-Song; Miller, David	4	2001
Colored coalescent theory. Zbl 1148.60049 Tian, Jianjun; Lin, Xiao-Song	3	2005
Finite type link-homotopy invariants. Zbl 1002.57033 Lin, Xiao-Song	3	2001
The mutation process in colored coalescent theory. Zbl 1179.92047 Tian, Jianjun Paul; Lin, Xiao-Song	3	2009
Finite type invariants of integral homology 3-spheres: A survey. Zbl 0901.57024 Lin, Xiao-Song	3	1998
Vertex models, quantum groups, and Vassiliev’s knot invariants. Zbl 1179.57021 Lin, Xiao-Song	3	2008
The motion group of the unlink and its representations. Zbl 1173.57008 Lin, Xiao-Song	3	2008
Knot adjacency and fibering. Zbl 1146.57003 Kalfagianni, Efstratia; Lin, Xiao-Song	2	2008
Fermat limit and congruence of Ohtsuki invariants. Zbl 0959.57008 Lin, Xiao-Song; Wang, Zhenghan	2	1999
Milnor and finite type invariants of plat-closures. Zbl 0940.57016 Kalfagianni, Efstratia; Lin, Xiao-Song	2	1998
Vassiliev invariants and the cubical knot complex. Zbl 1012.57017 Kofman, Ilya; Lin, Xiao-Song	1	2003
On the bridge number of knot diagrams with minimal crossings. Zbl 1081.57001 Chung, Jae-Wook; Lin, Xiao-Song	1	2004
Off-center reflections: caustics and chaos. Zbl 1041.37018 Au, Thomas Kwok-keung; Lin, Xiao-Song	1	2001
Finite type link invariants and the non-invertibility of links. Zbl 0865.57009 Lin, Xiao-Song	1	1996
On Vassiliev knot invariants induced from finite type 3-manifold invariants. Zbl 0934.57002 Greenwood, Matt; Lin, Xiao-Song	1	1999
On \(n\)-punctured ball tangles. Zbl 1105.57008 Chung, Jae-Wook; Lin, Xiao-Song	1	2006
An application of TQFT: determining the girth of a knot. Zbl 1160.57005 Hernández, Lisa; Lin, Xiao-Song	1	2008
On the Hecke algebras and the colored HOMFLY polynomial. Zbl 1193.57006 Lin, Xiao-Song; Zheng, Hao	50	2010
Alternating sum formulae for the determinant and other link invariants. Zbl 1200.57008 Dasbach, Oliver T.; Futer, David; Kalfagianni, Efstratia; Lin, Xiao-Song; Stoltzfus, Neal W.	19	2010
The mutation process in colored coalescent theory. Zbl 1179.92047 Tian, Jianjun Paul; Lin, Xiao-Song	3	2009
The Jones polynomial and graphs on surfaces. Zbl 1135.05015 Dasbach, Oliver T.; Futer, David; Kalfagianni, Efstratia; Lin, Xiao-Song; Stoltzfus, Neal W.	76	2008
On generalized knot groups. Zbl 1156.57008 Lin, Xiao-Song; Nelson, Sam	4	2008
Vertex models, quantum groups, and Vassiliev’s knot invariants. Zbl 1179.57021 Lin, Xiao-Song	3	2008
The motion group of the unlink and its representations. Zbl 1173.57008 Lin, Xiao-Song	3	2008
Knot adjacency and fibering. Zbl 1146.57003 Kalfagianni, Efstratia; Lin, Xiao-Song	2	2008
An application of TQFT: determining the girth of a knot. Zbl 1160.57005 Hernández, Lisa; Lin, Xiao-Song	1	2008
A volumish theorem for the Jones polynomial of alternating knots. Zbl 1166.57002 Dasbach, Oliver T.; Lin, Xiao-Song	30	2007
On the head and the tail of the colored Jones polynomial. Zbl 1106.57008 Dasbach, Oliver T.; Lin, Xiao-Song	39	2006
Knot adjacency, genus and essential tori. Zbl 1123.57007 Kalfagianni, Efstratia; Lin, Xiao-Song	19	2006
Continuous time Markov processes on graphs. Zbl 1113.60071 Tian, Jianjun; Lin, Xiao-Song	4	2006
On \(n\)-punctured ball tangles. Zbl 1105.57008 Chung, Jae-Wook; Lin, Xiao-Song	1	2006
Colored coalescent theory. Zbl 1148.60049 Tian, Jianjun; Lin, Xiao-Song	3	2005
Knot adjacency and satellites. Zbl 1045.57002 Kalfagianni, E.; Lin, X.-S.	10	2004
On the bridge number of knot diagrams with minimal crossings. Zbl 1081.57001 Chung, Jae-Wook; Lin, Xiao-Song	1	2004
Vassiliev invariants and the cubical knot complex. Zbl 1012.57017 Kofman, Ilya; Lin, Xiao-Song	1	2003
Achirality of knots and links. Zbl 0992.57004 Jiang, Boju; Lin, Xiao-Song; Wang, Shicheng; Wu, Ying-Qing	9	2002
Representations of knot groups and twisted Alexander polynomials. Zbl 0986.57003 Lin, Xiao Song	105	2001
Random walk on knot diagrams, colored Jones polynomial and Ihara-Selberg zeta function. Zbl 0992.57001 Lin, Xiao-Song; Wang, Zhenghan	7	2001
Quantum morphing and the Jones polynomial. Zbl 0991.57012 Dasbach, Oliver T.; Le, Thang D.; Lin, Xiao-Song	4	2001
Subspaces of knot spaces. Zbl 0978.57005 Benham, Craig; Lin, Xiao-Song; Miller, David	4	2001
Finite type link-homotopy invariants. Zbl 1002.57033 Lin, Xiao-Song	3	2001
Off-center reflections: caustics and chaos. Zbl 1041.37018 Au, Thomas Kwok-keung; Lin, Xiao-Song	1	2001
The HOMFLY polynomial for links in rational homology 3-spheres. Zbl 0961.57005 Kalfagianni, Efstratia; Lin, Xiao-Song	9	1999
On Ohtsuki’s invariants of integral homology 3-spheres. Zbl 0936.57011 Lin, Xiaosong; Wang, Zhenghan	5	1999
Fermat limit and congruence of Ohtsuki invariants. Zbl 0959.57008 Lin, Xiao-Song; Wang, Zhenghan	2	1999
On Vassiliev knot invariants induced from finite type 3-manifold invariants. Zbl 0934.57002 Greenwood, Matt; Lin, Xiao-Song	1	1999
On link concordance and Milnor’s \(\overline{\mu}\) invariants. Zbl 0936.57006 Habegger, Nathan; Lin, Xiao-Song	16	1998
Burau representation and random walks on string links. Zbl 0903.57003 Lin, Xiao-Song; Tian, Feng; Wang, Zhenghan	10	1998
Finite type invariants of integral homology 3-spheres: A survey. Zbl 0901.57024 Lin, Xiao-Song	3	1998
Milnor and finite type invariants of plat-closures. Zbl 0940.57016 Kalfagianni, Efstratia; Lin, Xiao-Song	2	1998
Power series expansions and invariants of links. Zbl 0897.57006 Lin, Xiao-Song	15	1997
Integral geometry of plane curves and knot invariants. Zbl 0937.53006 Lin, Xiao-Song; Wang, Zhenghan	12	1996
Finite type link invariants and the non-invertibility of links. Zbl 0865.57009 Lin, Xiao-Song	1	1996
Finite type link invariants of 3-manifolds. Zbl 0816.57013 Lin, Xiao-Song	13	1994
Knot polynomials and Vassiliev’s invariants. Zbl 0812.57011 Birman, Joan S.; Lin, Xiao-Song	155	1993
A knot invariant via representation spaces. Zbl 0774.57007 Lin, Xiao-Song	33	1992
Null k-cobordant links in \(S^ 3\). Zbl 0734.57009 Lin, Xiao-Song	4	1991
The classification of links up to link-homotopy. Zbl 0704.57016 Habegger, Nathan; Lin, Xiao-Song	81	1990
On the \((A,B)\)-slice problem. Zbl 0845.57016 Freedman, Michael H.; Lin, Xiao-Song	9	1989
On the root classes of mapping. Zbl 0618.55001 Lin, Xiaosong	8	1986