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Distinguishing open symplectic mapping tori via their wrapped Fukaya categories

Yusuf Barış Kartal

Geometry & Topology 25 (2021) 1551–1630
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