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Floer cohomology, multiplicity and the log canonical threshold

Mark McLean

Geometry & Topology 23 (2019) 957–1056
Bibliography
1 M Abouzaid, P Seidel, An open string analogue of Viterbo functoriality, Geom. Topol. 14 (2010) 627 MR2602848
2 N A’Campo, La fonction zêta d’une monodromie, Comment. Math. Helv. 50 (1975) 233 MR0371889
3 M F Atiyah, Resolution of singularities and division of distributions, Comm. Pure Appl. Math. 23 (1970) 145 MR0256156
4 W M Boothby, H C Wang, On contact manifolds, Ann. of Math. 68 (1958) 721 MR0112160
5 R Bott, The stable homotopy of the classical groups, Proc. Nat. Acad. Sci. U.S.A. 43 (1957) 933 MR0102802
6 F Bourgeois, Y Eliashberg, H Hofer, K Wysocki, E Zehnder, Compactness results in symplectic field theory, Geom. Topol. 7 (2003) 799 MR2026549
7 F Bourgeois, A Oancea, S1–equivariant symplectic homology and linearized contact homology, preprint (2012) arXiv:1212.3731
8 N Budur, Singularity invariants related to Milnor fibers : survey, from: "Zeta functions in algebra and geometry" (editors A Campillo, G Cardona, A Melle-Hernández, W Veys), Contemp. Math. 566, Amer. Math. Soc. (2012) 161 MR2858923
9 C Caubel, A Némethi, P Popescu-Pampu, Milnor open books and Milnor fillable contact 3–manifolds, Topology 45 (2006) 673 MR2218761
10 K Cieliebak, A Floer, H Hofer, Symplectic homology, II : A general construction, Math. Z. 218 (1995) 103 MR1312580
11 C Conley, E Zehnder, Morse-type index theory for flows and periodic solutions for Hamiltonian equations, Comm. Pure Appl. Math. 37 (1984) 207 MR733717
12 J Denef, F Loeser, Lefschetz numbers of iterates of the monodromy and truncated arcs, Topology 41 (2002) 1031 MR1923998
13 M R Dörner, The space of contact forms adapted to an open book, PhD thesis, Universität zu Köln (2014)
14 S Dostoglou, D A Salamon, Self-dual instantons and holomorphic curves, Ann. of Math. 139 (1994) 581 MR1283871
15 L Ein, R Lazarsfeld, M Mustaţǎ, Contact loci in arc spaces, Compos. Math. 140 (2004) 1229 MR2081163
16 J W Fish, Target-local Gromov compactness, Geom. Topol. 15 (2011) 765 MR2800366
17 E Giroux, Géométrie de contact : de la dimension trois vers les dimensions supérieures, from: "Proceedings of the International Congress of Mathematicians" (editor L Tatsien), Higher Ed. Press (2002) 405 MR1957051
18 V Guillemin, S Sternberg, Symplectic techniques in physics, Cambridge Univ. Press (1990) MR1066693
19 J Gutt, Generalized Conley–Zehnder index, preprint (2013) arXiv:1307.7239
20 H Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero, I, Ann. of Math. 79 (1964) 109 MR0199184
21 H Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero, II, Ann. of Math. 79 (1964) 205 MR0199184
22 M Hutchings, Lecture notes on Morse homology (with an eye towards Floer theory and pseudoholomorphic curves), lecture notes (2002)
23 J N Mather, Stratifications and mappings, from: "Dynamical systems" (editor M M Peixoto), Academic (1973) 195 MR0368064
24 D McDuff, D Salamon, Introduction to symplectic topology, Clarendon (1998) MR1698616
25 D McDuff, D Salamon, J–holomorphic curves and symplectic topology, 52, Amer. Math. Soc. (2004) MR2045629
26 M McLean, The growth rate of symplectic homology and affine varieties, Geom. Funct. Anal. 22 (2012) 369 MR2929069
27 M McLean, Symplectic homology of Lefschetz fibrations and Floer homology of the monodromy map, Selecta Math. 18 (2012) 473 MR2960024
28 M McLean, Reeb orbits and the minimal discrepancy of an isolated singularity, Invent. Math. 204 (2016) 505 MR3489704
29 J Milnor, Singular points of complex hypersurfaces, 61, Princeton Univ. Press (1968) MR0239612
30 M Mustaţă, IMPANGA lecture notes on log canonical thresholds, from: "Contributions to algebraic geometry" (editor P Pragacz), Eur. Math. Soc. (2012) 407 MR2976952
31 J von Neumann, Continuous geometry, 25, Princeton Univ. Press (1960) MR0120174
32 R S Palais, Homotopy theory of infinite dimensional manifolds, Topology 5 (1966) 1 MR0189028
33 D Petersen, A spectral sequence for stratified spaces and configuration spaces of points, preprint (2016) arXiv:1603.01137
34 J Robbin, D Salamon, The Maslov index for paths, Topology 32 (1993) 827 MR1241874
35 D Salamon, E Zehnder, Morse theory for periodic solutions of Hamiltonian systems and the Maslov index, Comm. Pure Appl. Math. 45 (1992) 1303 MR1181727
36 P Seidel, Graded Lagrangian submanifolds, Bull. Soc. Math. France 128 (2000) 103 MR1765826
37 P Seidel, More about vanishing cycles and mutation, from: "Symplectic geometry and mirror symmetry" (editors K Fukaya, Y G Oh, K Ono, G Tian), World Sci. (2001) 429 MR1882336
38 P Seidel, Critical points of complex polynomials from the symplectic viewpoint, lecture (2014)
39 M F Tehrani, M McLean, A Zinger, Normal crossings singularities for symplectic topology, preprint (2014) arXiv:1410.0609
40 M F Tehrani, M McLean, A Zinger, The smoothability of normal crossings symplectic varieties, preprint (2014) arXiv:1410.2573
41 I Uljarevic, Floer homology of automorphisms of Liouville domains, preprint (2014) arXiv:1404.2128
42 A Varchenko, Contact structures and isolated singularities, Mosc. Univ. Math. Bull. 35 (1982) 18
43 C Viterbo, Functors and computations in Floer homology with applications, I, Geom. Funct. Anal. 9 (1999) 985 MR1726235