A Morse complex on manifolds with boundary
By F. Laudenbach. 2010
54 citations recorded by the source corpus.
Given a compact smooth manifold M with non-empty boundary and a Morse function, a pseudo-gradient Morse-Smale vector field adapted to the boundary allows one to build a Morse complex whose homology is isomorphic to the (absolute or relative to the boundary) homology of M with integer coefficients. Our approach simplifies other methods which have been discussed in more specific geometric settings.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/e849933c64d525db2c31ca4dafe351d46b6a9799
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In Applied Mathematics
- St'ephane Guillermou
- P. Schapira
- C. Viterbo
- Dorian Le Peutrec
- Francis Nier
- Masaki Kashiwara
- Cédric Villani
- Roger Casals
In Computational Theory and Mathematics
- C. Viterbo
- Dorian Le Peutrec
- Francis Nier
- Masaki Kashiwara
- Nils Berglund
- Fabrice Baudoin
- Cédric Villani
- Frédéric Hérau
In Geometry and Topology
- St'ephane Guillermou
- Masaki Kashiwara
- P. Schapira
- C. Viterbo
- Francis Nier
- Dorian Le Peutrec
- D. Hernandez
- Amnon Yekutieli
Citations in the corpus
- Precise Arrhenius Law for p-forms: The Witten Laplacian and Morse–Barannikov Complex (2011, background): “Let us recall a few elementary facts related with Morse theory known from [8,31,32,38].”
- Sheaf quantization of Hamiltonian isotopies and applications to non displaceability problems (2010, background): “the conormal bundle T∗ NMwith the microsupport of the constant sheaf kN on M. Note that this microsupport is easily calculated. ForMorse inequalities onmanifolds with boundaries, see the recent paper [16] and see also [15, 21] for related results. 4.3 Non-displaceability: non-negative Hamiltonian is”