Algebraic & Geometric Topology Volume 15, issue 2 (2015)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

Dimensionally reduced sutured Floer homology as a string homology

Daniel V Mathews and Eric Schoenfeld

Algebraic & Geometric Topology 15 (2015) 691–731

DOI: 10.2140/agt.2015.15.691

Bibliography

1	M Chas, D Sullivan, String topology, (2008) arXiv:math/9911159
2	K Cieliebak, J Latschev, The role of string topology in symplectic field theory, from: "New perspectives and challenges in symplectic field theory", CRM Proc. Lecture Notes 49, Amer. Math. Soc. (2009) 113 MR2555935
3	V Colin, P Ghiggini, K Honda, Embedded contact homology and open book decompositions, (2010) arXiv:1008.2734
4	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
5	V Colin, P Ghiggini, K Honda, The equivalence of Heegaard–Floer homology and embedded contact homology, III: From hat to plus, (2012) arXiv:1208.1526
6	V Colin, P Ghiggini, K Honda, The equivalence of Heegaard–Floer homology and embedded contact homology via open book decompositions, I, (2012) arXiv:1208.1074
7	V Colin, P Ghiggini, K Honda, The equivalence of Heegaard–Floer homology and embedded contact homology via open book decompositions, II, (2012) arXiv:1208.1077
8	V Colin, P Ghiggini, K Honda, M Hutchings, Sutures and contact homology I, Geom. Topol. 15 (2011) 1749 MR2851076
9	Y Eliashberg, A Givental, H Hofer, Introduction to symplectic field theory, Geom. Funct. Anal. (2000) 560 MR1826267
10	W M Goldman, Invariant functions on Lie groups and Hamiltonian flows of surface group representations, Invent. Math. 85 (1986) 263 MR846929
11	R Golovko, The embedded contact homology of sutured solid tori, Algebr. Geom. Topol. 11 (2011) 1001 MR2782551
12	K Honda, On the classification of tight contact structures I, Geom. Topol. 4 (2000) 309 MR1786111
13	K Honda, W H Kazez, G Matić, Right-veering diffeomorphisms of compact surfaces with boundary II, Geom. Topol. 12 (2008) 2057 MR2431016
14	M Hutchings, An index inequality for embedded pseudoholomorphic curves in symplectizations, J. Eur. Math. Soc. $($JEMS$)$ 4 (2002) 313 MR1941088
15	A Juhász, Holomorphic discs and sutured manifolds, Algebr. Geom. Topol. 6 (2006) 1429 MR2253454
16	A Juhász, Floer homology and surface decompositions, Geom. Topol. 12 (2008) 299 MR2390347
17	P Kronheimer, T Mrowka, Monopoles and three-manifolds, New Mathematical Monographs 10, Cambridge Univ. Press, Cambridge (2007) MR2388043
18	C Kutluhan, Y J Lee, C Taubes, ${HF}={HM}$ I: Heegaard–Floer homology and Seiberg–Witten–Floer homology, (2010) arXiv:1007.1979
19	C Kutluhan, Y J Lee, C Taubes, ${HF}={HM}$ II: Reeb orbits and holomorpic curves for the ech/Heegaard–Floer correspondence, (2010) arXiv:1008.1595
20	C Kutluhan, Y J Lee, C Taubes, ${HF}={HM}$ III: Holomorphic curves and the differential for the ech/Heegaard–Floer correspondence, (2010) arXiv:1010.3456
21	C Kutluhan, Y J Lee, C Taubes, ${HF}={HM}$ IV: The Seiberg–Witten–Floer homology and ech correspondence, (2011) arXiv:1107.2297
22	C Kutluhan, Y J Lee, C Taubes, ${HF}={HM}$ V: Seiberg–Witten–Floer homology and handle additions, (2012) arXiv:1204.0115
23	R Lipshitz, P Ozsvath, D Thurston, Bordered Heegaard–Floer homology: invariance and pairing, (2008) arXiv:0810.0687
24	D V Mathews, Chord diagrams, contact-topological quantum field theory and contact categories, Algebr. Geom. Topol. 10 (2010) 2091 MR2745667
25	D V Mathews, Sutured Floer homology, sutured TQFT and noncommutative QFT, Algebr. Geom. Topol. 11 (2011) 2681 MR2846909
26	D V Mathews, Sutured TQFT, torsion and tori, Internat. J. Math. 24 (2013) 1350039, 35 MR3070808
27	D V Mathews, Itsy bitsy topological field theory, Ann. Henri Poincaré 15 (2014) 1801 MR3245886
28	P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. 159 (2004) 1159 MR2113020
29	P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. 159 (2004) 1027 MR2113019
30	E Schoenfeld, Higher symplectic field theory invariants for cotangent bundles of surfaces, PhD thesis, Stanford University (2009) MR2717851
31	V G Turaev, Skein quantization of Poisson algebras of loops on surfaces, Ann. Sci. École Norm. Sup. 24 (1991) 635 MR1142906
32	H Whitney, On regular closed curves in the plane, Compositio Math. 4 (1937) 276 MR1556973
33	R Zarev, Bordered Floer homology for sutured manifolds, (2009) arXiv:0908.1106