Algebraic & Geometric Topology Volume 20, issue 5 (2020)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Disjoinable Lagrangian tori and semisimple symplectic cohomology

Yin Li

Algebraic & Geometric Topology 20 (2020) 2269–2335

DOI: 10.2140/agt.2020.20.2269

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, D Auroux, L Katzarkov, Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces, Publ. Math. Inst. Hautes Études Sci. 123 (2016) 199 MR3502098
3	M Abouzaid, P Seidel, An open string analogue of Viterbo functoriality, Geom. Topol. 14 (2010) 627 MR2602848
4	P Albers, J Kang, Vanishing of Rabinowitz Floer homology on negative line bundles, Math. Z. 285 (2017) 493 MR3598822
5	P Albers, M McLean, Non-displaceable contact embeddings and infinitely many leaf-wise intersections, J. Symplectic Geom. 9 (2011) 271 MR2817777
6	D Auroux, L Katzarkov, D Orlov, Mirror symmetry for del Pezzo surfaces : vanishing cycles and coherent sheaves, Invent. Math. 166 (2006) 537 MR2257391
7	P Biran, O Cornea, Quantum structures for Lagrangian submanifolds, preprint (2007) arXiv:0708.4221
8	P Biran, O Cornea, Rigidity and uniruling for Lagrangian submanifolds, Geom. Topol. 13 (2009) 2881 MR2546618
9	W M Boothby, H C Wang, On contact manifolds, Ann. of Math. 68 (1958) 721 MR112160
10	F Charest, C T Woodward, Floer cohomology and flips, preprint (2015) arXiv:1508.01573
11	C H Cho, Products of Floer cohomology of torus fibers in toric Fano manifolds, Comm. Math. Phys. 260 (2005) 613 MR2183959
12	K Cieliebak, Handle attaching in symplectic homology and the chord conjecture, J. Eur. Math. Soc. 4 (2002) 115 MR1911873
13	K Cieliebak, A Oancea, Symplectic homology and the Eilenberg–Steenrod axioms, Algebr. Geom. Topol. 18 (2018) 1953 MR3797062
14	K Cieliebak, E Volkov, First steps in stable Hamiltonian topology, J. Eur. Math. Soc. 17 (2015) 321 MR3317746
15	D A Cox, J B Little, H K Schenck, Toric varieties, 124, Amer. Math. Soc. (2011) MR2810322
16	M Entov, L Polterovich, Rigid subsets of symplectic manifolds, Compos. Math. 145 (2009) 773 MR2507748
17	A Fauck, Rabinowitz–Floer homology on Brieskorn manifolds, PhD thesis, Humboldt University of Berlin (2016) arXiv:1605.07892
18	H Geiges, K Zehmisch, The Weinstein conjecture for connected sums, Int. Math. Res. Not. 2016 (2016) 325 MR3493420
19	P Ghiggini, K Niederkrüger, C Wendl, Subcritical contact surgeries and the topology of symplectic fillings, J. Éc. Polytech. Math. 3 (2016) 163 MR3477867
20	Y Groman, Floer theory and reduced cohomology on open manifolds, preprint (2015) arXiv:1510.04265
21	Y Kawamata, D–equivalence and K–equivalence, J. Differential Geom. 61 (2002) 147 MR1949787
22	M Kontsevich, Y Manin, Gromov–Witten classes, quantum cohomology, and enumerative geometry, Comm. Math. Phys. 164 (1994) 525 MR1291244
23	J Latschev, C Wendl, Algebraic torsion in contact manifolds, Geom. Funct. Anal. 21 (2011) 1144 MR2846386
24	Y P Lee, Quantum Lefschetz hyperplane theorem, Invent. Math. 145 (2001) 121 MR1839288
25	E Lerman, Contact toric manifolds, J. Symplectic Geom. 1 (2003) 785 MR2039164
26	N C Leung, Y Li, Twin Lagrangian fibrations in mirror symmetry, J. Symplectic Geom. 17 (2019) 1331 MR4039811
27	S Luo, Cohomology rings of good contact toric manifolds, preprint (2010) arXiv:1012.2146
28	P Massot, K Niederkrüger, C Wendl, Weak and strong fillability of higher dimensional contact manifolds, Invent. Math. 192 (2013) 287 MR3044125
29	D McDuff, D Salamon, J–holomorphic curves and symplectic topology, 52, Amer. Math. Soc. (2004) MR2045629
30	D McDuff, S Tolman, Topological properties of Hamiltonian circle actions, Int. Math. Res. Pap. 2006 (2006) MR2210662
31	M McLean, Lefschetz fibrations and symplectic homology, Geom. Topol. 13 (2009) 1877 MR2497314
32	A Oancea, Fibered symplectic cohomology and the Leray–Serre spectral sequence, J. Symplectic Geom. 6 (2008) 267 MR2448827
33	D O Orlov, Triangulated categories of singularities and D-branes in Landau–Ginzburg models, Tr. Mat. Inst. Steklova 246 (2004) 240 MR2101296
34	A F Ritter, Deformations of symplectic cohomology and exact Lagrangians in ALE spaces, Geom. Funct. Anal. 20 (2010) 779 MR2720232
35	A F Ritter, Topological quantum field theory structure on symplectic cohomology, J. Topol. 6 (2013) 391 MR3065181
36	A F Ritter, Floer theory for negative line bundles via Gromov–Witten invariants, Adv. Math. 262 (2014) 1035 MR3228449
37	A F Ritter, Circle actions, quantum cohomology, and the Fukaya category of Fano toric varieties, Geom. Topol. 20 (2016) 1941 MR3548462
38	A F Ritter, I Smith, The monotone wrapped Fukaya category and the open-closed string map, Selecta Math. 23 (2017) 533 MR3595902
39	P Seidel, π₁ of symplectic automorphism groups and invertibles in quantum homology rings, Geom. Funct. Anal. 7 (1997) 1046 MR1487754
40	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 (2008) 211 MR2459307
41	P Seidel, Fukaya categories and Picard–Lefschetz theory, Eur. Math. Soc. (2008) MR2441780
42	P Seidel, Lagrangian homology spheres in (A_m) Milnor fibres via ℂ^∗–equivariant A_∞–modules, Geom. Topol. 16 (2012) 2343 MR3033519
43	P Seidel, Disjoinable Lagrangian spheres and dilations, Invent. Math. 197 (2014) 299 MR3232008
44	P Seidel, I Smith, A link invariant from the symplectic geometry of nilpotent slices, Duke Math. J. 134 (2006) 453 MR2254624
45	P Seidel, J P Solomon, Symplectic cohomology and q–intersection numbers, Geom. Funct. Anal. 22 (2012) 443 MR2929070
46	N Sheridan, On the Fukaya category of a Fano hypersurface in projective space, Publ. Math. Inst. Hautes Études Sci. 124 (2016) 165 MR3578916
47	I Smith, Floer cohomology and pencils of quadrics, Invent. Math. 189 (2012) 149 MR2929086
48	I Smith, R P Thomas, S T Yau, Symplectic conifold transitions, J. Differential Geom. 62 (2002) 209 MR1988503
49	C Viterbo, Functors and computations in Floer homology with applications, I, Geom. Funct. Anal. 9 (1999) 985 MR1726235
50	A Weinstein, Contact surgery and symplectic handlebodies, Hokkaido Math. J. 20 (1991) 241 MR1114405