Geometry & Topology Volume 21, issue 4 (2017)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Author Index

To Appear

Other MSP Journals

Symplectic and contact differential graded algebras

Tobias Ekholm and Alexandru Oancea

Geometry & Topology 21 (2017) 2161–2230

DOI: 10.2140/gt.2017.21.2161

Bibliography

1	A Abbondandolo, A Portaluri, M Schwarz, The homology of path spaces and Floer homology with conormal boundary conditions, J. Fixed Point Theory Appl. 4 (2008) 263 MR2465553
2	A Abbondandolo, M Schwarz, On the Floer homology of cotangent bundles, Comm. Pure Appl. Math. 59 (2006) 254 MR2190223
3	M Abouzaid, Symplectic cohomology and Viterbo’s theorem, from: "Free loop spaces in geometry and topology" (editors J Latschev, A Oancea), IRMA Lect. Math. Theor. Phys. 24, Eur. Math. Soc. (2015) 271 MR3444367
4	M Abouzaid, P Seidel, An open string analogue of Viterbo functoriality, Geom. Topol. 14 (2010) 627 MR2602848
5	M Aganagic, T Ekholm, L Ng, C Vafa, Topological strings, D–model, and knot contact homology, Adv. Theor. Math. Phys. 18 (2014) 827 MR3277674
6	F Bourgeois, Contact homology and homotopy groups of the space of contact structures, Math. Res. Lett. 13 (2006) 71 MR2200047
7	F Bourgeois, T Ekholm, Y Eliashberg, Effect of Legendrian surgery, Geom. Topol. 16 (2012) 301 MR2916289
8	F Bourgeois, Y Eliashberg, H Hofer, K Wysocki, E Zehnder, Compactness results in symplectic field theory, Geom. Topol. 7 (2003) 799 MR2026549
9	F Bourgeois, K Mohnke, Coherent orientations in symplectic field theory, Math. Z. 248 (2004) 123 MR2092725
10	F Bourgeois, A Oancea, An exact sequence for contact- and symplectic homology, Invent. Math. 175 (2009) 611 MR2471597
11	F Bourgeois, A Oancea, Symplectic homology, autonomous Hamiltonians, and Morse–Bott moduli spaces, Duke Math. J. 146 (2009) 71 MR2475400
12	F Bourgeois, A Oancea, S1–equivariant symplectic homology and linearized contact homology, Int. Math. Res. Not. (2016)
13	K Cieliebak, T Ekholm, J Latschev, Compactness for holomorphic curves with switching Lagrangian boundary conditions, J. Symplectic Geom. 8 (2010) 267 MR2684508
14	K Cieliebak, T Ekholm, J Latschev, L Ng, Knot contact homology, string topology, and the cord algebra, preprint (2016) arXiv:1601.02167
15	K Cieliebak, Y Eliashberg, From Stein to Weinstein and back : Symplectic geometry of affine complex manifolds, 59, Amer. Math. Soc. (2012) MR3012475
16	K Cieliebak, A Floer, H Hofer, K Wysocki, Applications of symplectic homology, II : Stability of the action spectrum, Math. Z. 223 (1996) 27 MR1408861
17	K Cieliebak, A Oancea, Symplectic homology and the Eilenberg–Steenrod axioms, preprint (2015) arXiv:1511.00485
18	T Ekholm, Rational symplectic field theory over ℤ2 for exact Lagrangian cobordisms, J. Eur. Math. Soc. 10 (2008) 641 MR2421157
19	T Ekholm, Rational SFT, linearized Legendrian contact homology, and Lagrangian Floer cohomology, from: "Perspectives in analysis, geometry, and topology" (editors I Itenberg, B Jöricke, M Passare), Progr. Math. 296, Springer (2012) 109 MR2884034
20	T Ekholm, J B Etnyre, L Ng, M G Sullivan, Knot contact homology, Geom. Topol. 17 (2013) 975 MR3070519
21	T Ekholm, J Etnyre, M Sullivan, Orientations in Legendrian contact homology and exact Lagrangian immersions, Internat. J. Math. 16 (2005) 453 MR2141318
22	T Ekholm, J Etnyre, M Sullivan, Legendrian contact homology in P × ℝ, Trans. Amer. Math. Soc. 359 (2007) 3301 MR2299457
23	T Ekholm, K Honda, T Kálmán, Legendrian knots and exact Lagrangian cobordisms, J. Eur. Math. Soc. 18 (2016) 2627 MR3562353
24	T Ekholm, I Smith, Exact Lagrangian immersions with one double point revisited, Math. Ann. 358 (2014) 195 MR3157996
25	Y Eliashberg, A Givental, H Hofer, Introduction to symplectic field theory, from: "Visions in mathematics: GAFA 2000" (editors N Alon, J Bourgain, A Connes, M Gromov, V Milman), Geom. Funct. Anal. Special Volume, II (2000) 560 MR1826267
26	K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian intersection Floer theory : anomaly and obstruction, 46, Amer. Math. Soc. (2009) MR2553465
27	M Goresky, N Hingston, Loop products and closed geodesics, Duke Math. J. 150 (2009) 117 MR2560110
28	A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
29	H Hofer, K Wysocki, E Zehnder, Sc-smoothness, retractions and new models for smooth spaces, Discrete Contin. Dyn. Syst. 28 (2010) 665 MR2644764
30	H Hofer, K Wysocki, E Zehnder, Polyfold and Fredholm theory, I : Basic theory in M–polyfolds, preprint (2014) arXiv:1407.3185
31	T Kimura, J Stasheff, A A Voronov, On operad structures of moduli spaces and string theory, Comm. Math. Phys. 171 (1995) 1 MR1341693
32	D McDuff, D Salamon, J–holomorphic curves and symplectic topology, 52, Amer. Math. Soc. (2004) MR2045629
33	L Ng, Framed knot contact homology, Duke Math. J. 141 (2008) 365 MR2376818
34	J Pardon, Contact homology and virtual fundamental cycles, preprint (2015) arXiv:1508.03873
35	J Pardon, An algebraic approach to virtual fundamental cycles on moduli spaces of pseudo-holomorphic curves, Geom. Topol. 20 (2016) 779 MR3493097
36	A F Ritter, Topological quantum field theory structure on symplectic cohomology, J. Topol. 6 (2013) 391 MR3065181
37	J Robbin, D Salamon, The Maslov index for paths, Topology 32 (1993) 827 MR1241874
38	D A Salamon, J Weber, Floer homology and the heat flow, Geom. Funct. Anal. 16 (2006) 1050 MR2276534
39	P Seidel, A biased view of symplectic cohomology, from: "Current developments in mathematics, 2006" (editors B Mazur, T Mrowka, W Schmid, R Stanley, S T Yau), International Press (2008) 211 MR2459307
40	P Seidel, Fukaya categories and Picard–Lefschetz theory, Eur. Math. Soc. (2008) MR2441780
41	C Viterbo, Functors and computations in Floer homology with applications, II, preprint (1996)
42	C Viterbo, Functors and computations in Floer homology with applications, I, Geom. Funct. Anal. 9 (1999) 985 MR1726235
43	A Zinger, The determinant line bundle for Fredholm operators : construction, properties, and classification, Math. Scand. 118 (2016) 203 MR3515189