Geometry & Topology Volume 20, issue 5 (2016)

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Using simplicial volume to count maximally broken Morse trajectories

Hannah Alpert

Geometry & Topology 20 (2016) 2997–3018

DOI: 10.2140/gt.2016.20.2997

Bibliography

1	H Alpert, G Katz, Using simplicial volume to count multi-tangent trajectories of traversing vector fields, Geom. Dedicata 180 (2016) 323 MR3451470
2	A Banyaga, D Hurtubise, Lectures on Morse homology, 29, Kluwer Academic Publishers Group (2004) MR2145196
3	J M Franks, Morse–Smale flows and homotopy theory, Topology 18 (1979) 199 MR546790
4	M Goresky, R MacPherson, Stratified Morse theory, 14, Springer (1988) MR932724
5	R M Goresky, Triangulation of stratified objects, Proc. Amer. Math. Soc. 72 (1978) 193 MR0500991
6	M Gromov, Volume and bounded cohomology, Inst. Hautes Études Sci. Publ. Math. 56 (1982) 5 MR686042
7	M Gromov, Singularities, expanders and topology of maps, I : Homology versus volume in the spaces of cycles, Geom. Funct. Anal. 19 (2009) 743 MR2563769
8	A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
9	J F Lafont, B Schmidt, Simplicial volume of closed locally symmetric spaces of non-compact type, Acta Math. 197 (2006) 129 MR2285319
10	L Qin, On moduli spaces and CW structures arising from Morse theory on Hilbert manifolds, J. Topol. Anal. 2 (2010) 469 MR2748215
11	Qin,Lizhen, An application of topological equivalences to Morse theory, preprint (2011) arXiv:1102.2838v1.pdf
12	W P Thurston, The geometry and topology of three-manifolds, lecture notes (1979)
13	W P Thurston, Hyperbolic structures on 3–manifolds, II : Surface groups and 3–manifolds which fiber over the circle, (1998) arXiv:math/9801045v1
14	K Wehrheim, Smooth structures on Morse trajectory spaces, featuring finite ends and associative gluing, from: "Proceedings of the Freedman Fest" (editors R Kirby, V Krushkal, Z Wang), Geom. Topol. Monogr. 18 (2012) 369 MR3084244