Algebraic & Geometric Topology Volume 11, issue 5 (2011)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Representation spaces of pretzel knots

Raphael Zentner

Algebraic & Geometric Topology 11 (2011) 2941–2970

DOI: 10.2140/agt.2011.11.2941

Bibliography

1	M Boileau, H Zieschang, Nombre de ponts et générateurs méridiens des entrelacs de Montesinos, Comment. Math. Helv. 60 (1985) 270 MR800006
2	O Collin, N Saveliev, Equivariant Casson invariants via gauge theory, J. Reine Angew. Math. 541 (2001) 143 MR1876288
3	R Fintushel, R J Stern, Instanton homology of Seifert fibred homology three spheres, Proc. London Math. Soc. $(3)$ 61 (1990) 109 MR1051101
4	K Fukaya, Floer homology of connected sum of homology $3$–spheres, Topology 35 (1996) 89 MR1367277
5	M Heusener, E Klassen, Deformations of dihedral representations, Proc. Amer. Math. Soc. 125 (1997) 3039 MR1443155
6	M Heusener, J Kroll, Deforming abelian $\mathrm{SU}(2)$–representations of knot groups, Comment. Math. Helv. 73 (1998) 480 MR1633375
7	A Kawauchi, A survey of knot theory, Birkhäuser Verlag (1996) MR1417494
8	M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682
9	E P Klassen, Representations of knot groups in $\mathrm{SU}(2)$, Trans. Amer. Math. Soc. 326 (1991) 795 MR1008696
10	P Kronheimer, T Mrowka, Knot homology groups from instantons arXiv:0806.1053
11	P Kronheimer, T Mrowka, Knots, sutures, and excision, J. Differential Geom. 84 (2010) 301 MR2652464
12	P B Kronheimer, T S Mrowka, Khovanov homology is an unknot-detector, Publ. Math. Inst. Hautes Études Sci. (2011) 97 MR2805599
13	S Lewallen, Khovanov homology of alternating links and $\mathrm{SU}(2)$ representations of the link group arXiv:0910.5047
14	W B R Lickorish, An introduction to knot theory, Graduate Texts in Math. 175, Springer (1997) MR1472978
15	X S Lin, A knot invariant via representation spaces, J. Differential Geom. 35 (1992) 337 MR1158339
16	N Saveliev, Floer homology of Brieskorn homology spheres, J. Differential Geom. 53 (1999) 15 MR1776091
17	N Saveliev, Representation spaces of Seifert fibered homology spheres, Topology Appl. 126 (2002) 49 MR1934252
18	A Shumakovitch, private communication (2010)
19	A Shumakovitch, Torsion of the Khovanov homology for $\Z_2$–thin knots, Lecture notes, Knots in Poland III (Bedlewo, 2010): Conference on Knot Theory and its Ramifications (2010)
20	A Weil, On discrete subgroups of Lie groups (II), Ann. of Math. $(2)$ 75 (1962) 578 MR0137793
21	A Weil, Remarks on the cohomology of groups, Ann. of Math. $(2)$ 80 (1964) 149 MR0169956