Algebraic & Geometric Topology Volume 17, issue 4 (2017)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

A categorification of the Alexander polynomial in embedded contact homology

Gilberto Spano

Algebraic & Geometric Topology 17 (2017) 2081–2124

DOI: 10.2140/agt.2017.17.2081

Bibliography

1	N A’Campo, La fonction zêta d’une monodromie, Comment. Math. Helv. 50 (1975) 233 MR0371889
2	K L Baker, J B Etnyre, J Van Horn-Morris, Cabling, contact structures and mapping class monoids, J. Differential Geom. 90 (2012) 1 MR2891477
3	F Bourgeois, A Morse–Bott approach to contact homology, from: "Symplectic and contact topology: interactions and perspectives" (editors Y Eliashberg, B Khesin, F Lalonde), Fields Inst. Commun. 35, Amer. Math. Soc. (2003) 55 MR1969267
4	V Colin, Livres ouverts en géométrie de contact (d’après Emmanuel Giroux), from: "Séminaire Bourbaki, 2006/2007", Astérisque 317, Soc. Math. France (2008) 91 MR2487731
5	V Colin, P Ghiggini, K Honda, Embedded contact homology and open book decompositions, preprint (2010) arXiv:1008.2734
6	V Colin, P Ghiggini, K Honda, Equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions, Proc. Natl. Acad. Sci. USA 108 (2011) 8100 MR2806645
7	V Colin, P Ghiggini, K Honda, The equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions, I, preprint (2012) arXiv:1208.1074
8	V Colin, P Ghiggini, K Honda, The equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions, II, preprint (2012) arXiv:1208.1077
9	V Colin, P Ghiggini, K Honda, The equivalence of Heegaard Floer homology and embedded contact homology, III: From hat to plus, preprint (2012) arXiv:1208.1526
10	V Colin, P Ghiggini, K Honda, M Hutchings, Sutures and contact homology, I, Geom. Topol. 15 (2011) 1749 MR2851076
11	A Cotton-Clay, Symplectic Floer homology of area-preserving surface diffeomorphisms, Geom. Topol. 13 (2009) 2619 MR2529943
12	Y Eliashberg, L Traynor, editors, Symplectic geometry and topology, 7, Amer. Math. Soc. (1999) MR1702940
13	J M Franks, Knots, links and symbolic dynamics, Ann. of Math. 113 (1981) 529 MR621015
14	D Fried, Homological identities for closed orbits, Invent. Math. 71 (1983) 419 MR689651
15	H Geiges, An introduction to contact topology, 109, Cambridge Univ. Press (2008) MR2397738
16	E Giroux, Géométrie de contact : de la dimension trois vers les dimensions supérieures, from: "Proceedings of the International Congress of Mathematicians, II" (editor T Li), Higher Ed. Press (2002) 405 MR1957051
17	M Gromov, Pseudo holomorphic curves in symplectic manifolds, Invent. Math. 82 (1985) 307 MR809718
18	T Guyard, Sur le calcul d’invariants et l’engendrement des noeuds transverses dans les variétés de contact de dimension trois, PhD thesis, Université de Nantes (2015)
19	M Hutchings, The embedded contact homology index revisited, from: "New perspectives and challenges in symplectic field theory" (editors M Abreu, F Lalonde, L Polterovich), CRM Proc. Lecture Notes 49, Amer. Math. Soc. (2009) 263 MR2555941
20	M Hutchings, Lecture notes on embedded contact homology, from: "Contact and symplectic topology" (editors F Bourgeois, V Colin, A Stipsicz), Bolyai Soc. Math. Stud. 26, János Bolyai Math. Soc. (2014) 389 MR3220947
21	M Hutchings, M Sullivan, The periodic Floer homology of a Dehn twist, Algebr. Geom. Topol. 5 (2005) 301 MR2135555
22	A Juhász, Holomorphic discs and sutured manifolds, Algebr. Geom. Topol. 6 (2006) 1429 MR2253454
23	P Kronheimer, T Mrowka, Instanton Floer homology and the Alexander polynomial, Algebr. Geom. Topol. 10 (2010) 1715 MR2683750
24	P Kronheimer, T Mrowka, Knots, sutures, and excision, J. Differential Geom. 84 (2010) 301 MR2652464
25	C Manolescu, P Ozsváth, Heegaard Floer homology and integer surgeries on links, preprint (2010) arXiv:1011.1317
26	D McDuff, Singularities and positivity of intersections of J–holomorphic curves, from: "Holomorphic curves in symplectic geometry" (editors M Audin, J Lafontaine), Progr. Math. 117, Birkhäuser (1994) 191 MR1274930
27	D McDuff, D Salamon, J–holomorphic curves and symplectic topology, 52, Amer. Math. Soc. (2004) MR2045629
28	P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
29	P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. 159 (2004) 1027 MR2113019
30	P Ozsváth, Z Szabó, Heegaard Floer homology and contact structures, Duke Math. J. 129 (2005) 39 MR2153455
31	P Ozsváth, Z Szabó, Holomorphic disks, link invariants and the multi-variable Alexander polynomial, Algebr. Geom. Topol. 8 (2008) 615 MR2443092
32	P S Ozsváth, Z Szabó, Knot Floer homology and integer surgeries, Algebr. Geom. Topol. 8 (2008) 101 MR2377279
33	J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003) MR2704683
34	R Siefring, Intersection theory of punctured pseudoholomorphic curves, Geom. Topol. 15 (2011) 2351 MR2862160
35	S Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967) 747 MR0228014
36	W P Thurston, H E Winkelnkemper, On the existence of contact forms, Proc. Amer. Math. Soc. 52 (1975) 345 MR0375366
37	G Torres, On the Alexander polynomial, Ann. of Math. 57 (1953) 57 MR0052104
38	V G Turaev, Reidemeister torsion in knot theory, Uspekhi Mat. Nauk 41 (1986) 97 MR832411