Geometry & Topology Volume 25, issue 3 (2021)

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

Distinguishing open symplectic mapping tori via their wrapped Fukaya categories

Yusuf Barış Kartal

Geometry & Topology 25 (2021) 1551–1630

DOI: 10.2140/gt.2021.25.1551

Bibliography

1	M Abouzaid, A geometric criterion for generating the Fukaya category, Publ. Math. Inst. Hautes Études Sci. 112 (2010) 191 MR2737980
2	M Abouzaid, P Seidel, An open string analogue of Viterbo functoriality, Geom. Topol. 14 (2010) 627 MR2602848
3	P A Bergh, S Oppermann, Cohomology of twisted tensor products, J. Algebra 320 (2008) 3327 MR2450729
4	F Bourgeois, T Ekholm, Y Eliashberg, Effect of Legendrian surgery, Geom. Topol. 16 (2012) 301 MR2916289
5	B Chantraine, G Dimitroglou Rizell, P Ghiggini, R Golovko, Geometric generation of the wrapped Fukaya category of Weinstein manifolds and sectors, (2017) arXiv:1712.09126
6	K Cieliebak, Handle attaching in symplectic homology and the chord conjecture, J. Eur. Math. Soc. 4 (2002) 115 MR1911873
7	K Cieliebak, Y Eliashberg, From Stein to Weinstein and back, 59, Amer. Math. Soc. (2012) MR3012475
8	D Gaitsgory, ind-coherent sheaves, Mosc. Math. J. 13 (2013) 399 MR3136100
9	D Gaitsgory, N Rozenblyum, A study in derived algebraic geometry, II : Deformations, Lie theory and formal geometry, 221, Amer. Math. Soc. (2017) MR3701353
10	S Ganatra, Symplectic cohomology and duality for the wrapped Fukaya category, PhD thesis, Massachusetts Institute of Technology (2012)
11	S Ganatra, J Pardon, V Shende, Structural results in wrapped Floer theory, (2018) arXiv:1809.03427v1
12	S Ganatra, J Pardon, V Shende, Sectorial descent for wrapped Fukaya categories, (2018) arXiv:1809.03427v2
13	S Ganatra, J Pardon, V Shende, Covariantly functorial wrapped Floer theory on Liouville sectors, Publ. Math. Inst. Hautes Études Sci. 131 (2020) 73 MR4106794
14	Y Gao, Functors of wrapped Fukaya categories from Lagrangian correspondences, (2018) arXiv:1712.00225
15	L Grimley, V C Nguyen, S Witherspoon, Gerstenhaber brackets on Hochschild cohomology of twisted tensor products, J. Noncommut. Geom. 11 (2017) 1351 MR3743225
16	Y Groman, Floer theory and reduced cohomology on open manifolds, (2015) arXiv:1510.04265
17	K Irie, Handle attaching in wrapped Floer homology and brake orbits in classical Hamiltonian systems, Osaka J. Math. 50 (2013) 363 MR3080805
18	Y B Kartal, Dynamical invariants of mapping torus categories, (2018) arXiv:1809.04046
19	Y B Kartal, Distinguishing open symplectic mapping tori via their wrapped Fukaya categories, PhD thesis, Massachusetts Institute of Technology (2019)
20	L H Kauffman, N A Krylov, Kernel of the variation operator and periodicity of open books, Topology Appl. 148 (2005) 183 MR2118964
21	M Kontsevich, Y Soibelman, Notes on A_∞–algebras, A_∞–categories and non-commutative geometry, from: "Homological mirror symmetry" (editors A Kapustin, M Kreuzer, K G Schlesinger), Lecture Notes in Phys. 757, Springer (2009) 153 MR2596638
22	N A Krylov, Relative mapping class group of the trivial and the tangent disk bundles over the sphere, Pure Appl. Math. Q. 3 (2007) 631 MR2351640
23	Y Lekili, A Polishchuk, Arithmetic mirror symmetry for genus 1 curves with n marked points, Selecta Math. 23 (2017) 1851 MR3663596
24	J L Loday, The diagonal of the Stasheff polytope, from: "Higher structures in geometry and physics" (editors A S Cattaneo, A Giaquinto, P Xu), Progr. Math. 287, Birkhäuser (2011) 269 MR2762549
25	V A Lunts, D O Orlov, Uniqueness of enhancement for triangulated categories, J. Amer. Math. Soc. 23 (2010) 853 MR2629991
26	V Lyubashenko, S Ovsienko, A construction of quotient A_∞–categories, Homology Homotopy Appl. 8 (2006) 157 MR2259271
27	M Markl, Transferring A_∞ (strongly homotopy associative) structures, Rend. Circ. Mat. Palermo Suppl. 79 (2006) 139 MR2287133
28	S Ma’u, Quilted strips, graph associahedra, and A_∞ n–modules, Algebr. Geom. Topol. 15 (2015) 783 MR3342676
29	M Maydanskiy, Exotic symplectic manifolds from Lefschetz fibrations, (2009) arXiv:0906.2224
30	D Nadler, Wrapped microlocal sheaves on pairs of pants, (2016) arXiv:1604.00114
31	P Seidel, A biased view of symplectic cohomology, from: "Current developments in mathematics" (editors B Mazur, T Mrowka, W Schmid, R Stanley, S T Yau), International (2008) 211 MR2459307
32	P Seidel, Fukaya categories and Picard–Lefschetz theory, Eur. Math. Soc. (2008) MR2441780
33	P Seidel, Abstract analogues of flux as symplectic invariants, 137, Soc. Math. France (2014) 135 MR3289398
34	K Siegel, Squared Dehn twists and deformed symplectic invariants, (2016) arXiv:1609.08545
35	Z Sylvan, On partially wrapped Fukaya categories, (2016) arXiv:1604.02540
36	R W Thomason, Homotopy colimits in the category of small categories, Math. Proc. Cambridge Philos. Soc. 85 (1979) 91 MR510404