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Quantum characteristic classes and the Hofer metric

Yasha Savelyev

Geometry & Topology 12 (2008) 2277–2326
Bibliography
1 J C Álvarez Paiva, A C Thompson, Volumes on normed and Finsler spaces, from: "A sampler of Riemann–Finsler geometry", Math. Sci. Res. Inst. Publ. 50, Cambridge Univ. Press (2004) 1 MR2132656
2 O Buse, Relative family Gromov–Witten invariants and symplectomorphisms arXiv:SG/01110313
3 H Cartan, J P Serre, Espaces fibrés et groupes d'homotopie II: Applications, C. R. Acad. Sci. Paris 234 (1952) 393 MR0046046
4 H Federer, Geometric measure theory, Die Grund. der math. Wissenschaften 153, Springer (1969) MR0257325
5 H Hofer, On the topological properties of symplectic maps, Proc. Roy. Soc. Edinburgh Sect. A 115 (1990) 25 MR1059642
6 M Hutchings, Floer Homology of families I arXiv:math/0308115
7 M Hutchings, Floer Homology of families II, in preparation
8 E N Ionel, T H Parker, The symplectic sum formula for Gromov–Witten invariants, Ann. of Math. $(2)$ 159 (2004) 935 MR2113018
9 J Kędra, D McDuff, Homotopy properties of Hamiltonian group actions, Geom. Topol. 9 (2005) 121 MR2115670
10 F Lalonde, D McDuff, The geometry of symplectic energy, Ann. of Math. $(2)$ 141 (1995) 349 MR1324138
11 F Lalonde, D McDuff, Hofer's $L^\infty$–geometry: energy and stability of Hamiltonian flows I, II, Invent. Math. 122 (1995) 1, 35 MR1354953
12 A M Li, Y Ruan, Symplectic surgery and Gromov–Witten invariants of Calabi–Yau 3–folds, Invent. Math. 145 (2001) 151 MR1839289
13 D McDuff, Private communication
14 D McDuff, Quantum homology of fibrations over $S^2$, Internat. J. Math. 11 (2000) 665 MR1780735
15 D McDuff, Geometric variants of the Hofer norm, J. Symplectic Geom. 1 (2002) 197 MR1959582
16 D McDuff, D Salamon, Introduction to symplectic topology, Oxford Math. Monographs, The Clarendon Oxford University Press (1998) MR1698616
17 D McDuff, D Salamon, $J$–holomorphic curves and symplectic topology, American Math. Society Colloquium Publ. 52, Amer. Math. Soc. (2004) MR2045629
18 D McDuff, J Slimowitz, Hofer–Zehnder capacity and length minimizing Hamiltonian paths, Geom. Topol. 5 (2001) 799 MR1871405
19 D McDuff, S Tolman, Topological properties of Hamiltonian circle actions, IMRP Int. Math. Res. Pap. (2006) 1 MR2210662
20 J W Milnor, J C Moore, On the structure of Hopf algebras, Ann. of Math. $(2)$ 81 (1965) 211 MR0174052
21 J W Milnor, J D Stasheff, Characteristic classes, Annals of Math. Studies 76, Princeton University Press (1974) MR0440554
22 A G Reznikov, Characteristic classes in symplectic topology, Selecta Math. $($N.S.$)$ 3 (1997) 601 MR1613528
23 Y Savelyev, Virtual Morse theory on $\Omega \mathrm{Ham} (M, \omega)$, in progress
24 P Seidel, $\pi_1$ of symplectic automorphism groups and invertibles in quantum homology rings, Geom. Funct. Anal. 7 (1997) 1046 MR1487754
25 I Ustilovsky, Conjugate points on geodesics of Hofer's metric, Differential Geom. Appl. 6 (1996) 327 MR1422339
26 C Vafa, Topological mirrors and quantum rings, from: "Essays on mirror manifolds", Int. Press (1992) 96 MR1191421