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Mapping tori of $A_{\infty}$-autoequivalences and Legendrian lifts of exact Lagrangians in circular contactizations

Adrian Petr

Algebraic & Geometric Topology 25 (2025) 489–561
Bibliography
1 C Abbas, An introduction to compactness results in symplectic field theory, Springer (2014) MR3157146
2 J F Adams, On the cobar construction, Proc. Nat. Acad. Sci. USA 42 (1956) 409 MR79266
3 J F Adams, P J Hilton, On the chain algebra of a loop space, Comment. Math. Helv. 30 (1956) 305 MR77929
4 W M Boothby, H C Wang, On contact manifolds, Ann. of Math. 68 (1958) 721 MR112160
5 F Bourgeois, T Ekholm, Y Eliashberg, Effect of Legendrian surgery, Geom. Topol. 16 (2012) 301 MR2916289
6 F Bourgeois, Y Eliashberg, H Hofer, K Wysocki, E Zehnder, Compactness results in symplectic field theory, Geom. Topol. 7 (2003) 799 MR2026549
7 B Chantraine, G Dimitroglou Rizell, P Ghiggini, R Golovko, Geometric generation of the wrapped Fukaya category of Weinstein manifolds and sectors, Ann. Sci. École Norm. Sup. 57 (2024) 1 MR4732675
8 Y Chekanov, Differential algebra of Legendrian links, Invent. Math. 150 (2002) 441 MR1946550
9 G Dimitroglou Rizell, Legendrian ambient surgery and Legendrian contact homology, J. Symplectic Geom. 14 (2016) 811 MR3548486
10 G Dimitroglou Rizell, Lifting pseudo-holomorphic polygons to the symplectisation of P × and applications, Quantum Topol. 7 (2016) 29 MR3459958
11 S K Donaldson, Symplectic submanifolds and almost-complex geometry, J. Differential Geom. 44 (1996) 666 MR1438190
12 T Ekholm, Rational symplectic field theory over 2 for exact Lagrangian cobordisms, J. Eur. Math. Soc. 10 (2008) 641 MR2421157
13 T Ekholm, J B Etnyre, J M Sabloff, A duality exact sequence for Legendrian contact homology, Duke Math. J. 150 (2009) 1 MR2560107
14 T Ekholm, J Etnyre, M Sullivan, The contact homology of Legendrian submanifolds in 2n+1, J. Differential Geom. 71 (2005) 177 MR2197142
15 T Ekholm, J Etnyre, M Sullivan, Non-isotopic Legendrian submanifolds in 2n+1, J. Differential Geom. 71 (2005) 85 MR2191769
16 T Ekholm, J Etnyre, M Sullivan, Legendrian contact homology in P × , Trans. Amer. Math. Soc. 359 (2007) 3301 MR2299457
17 T Ekholm, Y Lekili, Duality between Lagrangian and Legendrian invariants, Geom. Topol. 27 (2023) 2049 MR4634745
18 T Ekholm, L Ng, Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold, J. Differential Geom. 101 (2015) 67 MR3356070
19 T Ekholm, A Oancea, Symplectic and contact differential graded algebras, Geom. Topol. 21 (2017) 2161 MR3654106
20 Y Eliashberg, Invariants in contact topology, from: "Proceedings of the International Congress of Mathematicians, II" (editors G Fischer, U Rehmann), Deutsche Mathematiker Vereinigung (1998) 327 MR1648083
21 Y Eliashberg, A Givental, H Hofer, Introduction to symplectic field theory, Geom. Funct. Anal. (2000) 560 MR1826267
22 S Ganatra, Symplectic cohomology and duality for the wrapped Fukaya category, preprint (2013) arXiv:1304.7312
23 S Ganatra, J Pardon, V Shende, Covariantly functorial wrapped Floer theory on Liouville sectors, Publ. Math. Inst. Hautes Études Sci. 131 (2020) 73 MR4106794
24 S Ganatra, J Pardon, V Shende, Sectorial descent for wrapped Fukaya categories, J. Amer. Math. Soc. 37 (2024) 499 MR4695507
25 Y B Kartal, Distinguishing open symplectic mapping tori via their wrapped Fukaya categories, Geom. Topol. 25 (2021) 1551 MR4268167
26 Y B Kartal, Dynamical invariants of mapping torus categories, Adv. Math. 389 (2021) 107882 MR4289033
27 B Keller, On triangulated orbit categories, Doc. Math. 10 (2005) 551 MR2184464
28 B Keller, On differential graded categories, from: "Proceedings of the International Congress of Mathematicians, II" (editors M Sanz-Solé, J Soria, J L Varona, J Verdera), Eur. Math. Soc. (2006) 151 MR2275593
29 D M Lu, J H Palmieri, Q S Wu, J J Zhang, Koszul equivalences in A-algebras, New York J. Math. 14 (2008) 325 MR2430869
30 V Lyubashenko, S Ovsienko, A construction of quotient A-categories, Homology Homotopy Appl. 8 (2006) 157 MR2259271
31 Y Pan, D Rutherford, Functorial LCH for immersed Lagrangian cobordisms, J. Symplectic Geom. 19 (2021) 635 MR4325415
32 A Petr, Invariants of the Legendrian lift of an exact Lagrangian submanifold in the circular contactization of a Liouville manifold, PhD thesis, Nantes Université (2022)
33 J Robbin, D Salamon, The Maslov index for paths, Topology 32 (1993) 827 MR1241874
34 J M Sabloff, Invariants of Legendrian knots in circle bundles, Commun. Contemp. Math. 5 (2003) 569 MR2003211
35 P Seidel, A-subalgebras and natural transformations, Homology Homotopy Appl. 10 (2008) 83 MR2426130
36 P Seidel, Fukaya categories and Picard–Lefschetz theory, Eur. Math. Soc. (2008) MR2441780
37 P Seidel, Lectures on categorical dynamics and symplectic topology, lecture notes (2013)