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Smooth structures on Morse trajectory spaces, featuring finite ends and associative gluing

Katrin Wehrheim

Geometry & Topology Monographs 18 (2012) 369–450

DOI: 10.2140/gtm.2012.18.369

Bibliography
1 P Albers, J Fish, K Wehrheim, A polyfold proof of the Arnold conjecture, work in progress
2 D M Austin, P J Braam, Morse–Bott theory and equivariant cohomology, from: "The Floer memorial volume" (editors H Hofer, C H Taubes, A Weinstein, E Zehnder), Progr. Math. 133, Birkhäuser (1995) 123–183 MR1362827
3 R Bott, Morse theory indomitable, Inst. Hautes Études Sci. Publ. Math. (1988) 99–114 MR1001450
4 D Burghelea, S Haller, On the topology and analysis of a closed one form. I (Novikov's theory revisited), from: "Essays on geometry and related topics, Vol. 1, 2" (editors É Ghys, P de la Harpe, V F R Jones, V Sergiescu, T Tsuboi), Monogr. Enseign. Math. 38, Enseignement Math. (2001) 133–175 MR1929325
5 R L Cohen, J D S Jones, G B Segal, Floer's infinite-dimensional Morse theory and homotopy theory, from: "The Floer memorial volume" (editors H Hofer, C H Taubes, A Weinstein, E Zehnder), Progr. Math. 133, Birkhäuser (1995) 297–325 MR1362832
6 J M Franks, Morse–Smale flows and homotopy theory, Topology 18 (1979) 199–215 MR546790
7 H Hofer, K Wysocki, E Zehnder, Applications of polyfold theory I: The polyfolds of Gromov–Witten theory arXiv:1107.2097
8 H Hofer, K Wysocki, E Zehnder, A general Fredholm theory. II. Implicit function theorems, Geom. Funct. Anal. 19 (2009) 206–293 MR2507223
9 M Hutchings, Lecture notes on Morse homology (with an eye towards Floer theory and pseudoholomorphic curves) (2002)
10 P Kronheimer, T Mrowka, Monopoles and three-manifolds, New Mathematical Monographs 10, Cambridge Univ. Press (2007) MR2388043
11 J Li, K Wehrheim, A–algebras for Lagrangians via polyfold theory for Morse trees with holomorphic disks, work in progress
12 J Milnor, Morse theory, Annals of Math. Studies 51, Princeton Univ. Press (1963) MR0163331
13 M Morse, The calculus of variations in the large, Amer. Math. Soc. Colloq. Publ. 18, Amer. Math. Soc. (1996) MR1451874
14 L T Nielsen, Transversality and the inverse image of a submanifold with corners, Math. Scand. 49 (1981) 211–221 MR661891
15 J Palis, On Morse–Smale dynamical systems, Topology 8 (1968) 385–404 MR0246316
16 J Palis, S Smale, Structural stability theorems, from: "Global Analysis" (editors S S Chern, S Smale), Proc. Sympos. Pure Math. 14, Amer. Math. Soc. (1970) 223–231 MR0267603
17 S Piunikhin, D Salamon, M Schwarz, Symplectic Floer–Donaldson theory and quantum cohomology, from: "Contact and symplectic geometry" (editor C B Thomas), Publ. Newton Inst. 8, Cambridge Univ. Press (1996) 171–200 MR1432464
18 L Qin, On the associativity of gluing arXiv:1107.5527
19 M Schwarz, Morse homology, Progress in Mathematics 111, Birkhäuser (1993) MR1239174
20 M Shub, Global stability of dynamical systems, Springer-Verlag (1987) MR869255
21 S Smale, On gradient dynamical systems, Ann. of Math. 74 (1961) 199–206 MR0133139
22 J Weber, The Morse–Witten complex via dynamical systems, Expo. Math. 24 (2006) 127–159 MR2243274
23 E Witten, Supersymmetry and Morse theory, J. Differential Geom. 17 (1982) 661–692 MR683171