Algebraic & Geometric Topology Volume 21, issue 4 (2021)

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

Equivariant Lagrangian Floer cohomology via semi-global Kuranishi structures

Erkao Bao and Ko Honda

Algebraic & Geometric Topology 21 (2021) 1677–1722

DOI: 10.2140/agt.2021.21.1677

Bibliography

1	G Alston, E Bao, Exact, graded, immersed Lagrangians and Floer theory, J. Symplectic Geom. 16 (2018) 357 MR3834425
2	E Bao, K Honda, Semi-global Kuranishi charts and the definition of contact homology, preprint (2015) arXiv:1512.00580
3	A Cannas da Silva, Lectures on symplectic geometry, 1764, Springer (2001) MR1853077
4	C H Cho, H Hong, Finite group actions on Lagrangian Floer theory, J. Symplectic Geom. 15 (2017) 307 MR3683788
5	T Ekholm, I Smith, Exact Lagrangian immersions with one double point revisited, Math. Ann. 358 (2014) 195 MR3157996
6	K Fukaya, Lie groupoid, deformation of unstable curve, and construction of equivariant Kuranishi charts, preprint (2017) arXiv:1701.02840
7	K Fukaya, Y G Oh, Zero-loop open strings in the cotangent bundle and Morse homotopy, Asian J. Math. 1 (1997) 96 MR1480992
8	K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian intersection Floer theory : anomaly and obstruction, I, 46.1, Amer. Math. Soc. (2009) MR2553465
9	K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian intersection Floer theory : anomaly and obstruction, II, 46.2, Amer. Math. Soc. (2009) MR2548482
10	K Fukaya, K Ono, Arnold conjecture and Gromov–Witten invariant, Topology 38 (1999) 933 MR1688434
11	K Hendricks, A rank inequality for the knot Floer homology of double branched covers, Algebr. Geom. Topol. 12 (2012) 2127 MR3020203
12	K Hendricks, Localization of the link Floer homology of doubly-periodic knots, J. Symplectic Geom. 13 (2015) 545 MR3412087
13	K Hendricks, A spectral sequence of the Floer cohomology of symplectomorphisms of trivial polarization class, Int. Math. Res. Not. 2017 (2017) 509 MR3658143
14	K Hendricks, R Lipshitz, S Sarkar, A flexible construction of equivariant Floer homology and applications, J. Topol. 9 (2016) 1153 MR3620455
15	M Khovanov, P Seidel, Quivers, Floer cohomology, and braid group actions, J. Amer. Math. Soc. 15 (2002) 203 MR1862802
16	D McDuff, D Salamon, Introduction to symplectic topology, Oxford Univ. Press (1998) MR1698616
17	D McDuff, D Salamon, J–holomorphic curves and symplectic topology, 52, Amer. Math. Soc. (2004) MR2045629
18	D McDuff, K Wehrheim, Smooth Kuranishi atlases with isotropy, Geom. Topol. 21 (2017) 2725 MR3687107
19	J Pardon, An algebraic approach to virtual fundamental cycles on moduli spaces of pseudo-holomorphic curves, Geom. Topol. 20 (2016) 779 MR3493097
20	F Schmäschke, Floer homology of Lagrangians in clean intersection, preprint (2016) arXiv:1606.05327
21	P Seidel, Graded Lagrangian submanifolds, Bull. Soc. Math. France 128 (2000) 103 MR1765826
22	P Seidel, Fukaya categories and Picard–Lefschetz theory, Eur. Math. Soc. (2008) MR2441780
23	P Seidel, I Smith, Localization for involutions in Floer cohomology, Geom. Funct. Anal. 20 (2010) 1464 MR2739000
24	J P Solomon, Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions, preprint (2006) arXiv:math/0606429
25	K Wehrheim, C Woodward, Orientations for pseudoholomorphic quilts, preprint (2015) arXiv:1503.07803