Morse Theory and Floer Homology

By M. Audin, M. Damian. 2013

171 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4a5f5fc30a9f055fe1100ed1b5979bb60ee9f100

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. E. Shelukhin
2. Vukavsin Stojisavljevi'c
3. L. Polterovich

In Geometry and Topology

1. E. Shelukhin
2. Vukavsin Stojisavljevi'c
3. L. Polterovich
4. Michael Usher
5. Michael Entov
6. Yong-Geun Oh
7. F. Zapolsky
8. V. Ginzburg

In Mathematical Physics

1. E. Shelukhin
2. Vukavsin Stojisavljevi'c
3. L. Polterovich
4. Michael Entov
5. Michael Usher
6. Yong-Geun Oh
7. F. Zapolsky
8. Y. Ostrover

Citations in the corpus

• Persistent homology and Floer-Novikov theory (2015, unknown): “, [Fl89], [HS95],[AD14] for more background, details, and proofs.”
• Persistence modules with operators in Morse and Floer theory (2017, background): “f M which parallels the more classical Morse homology (in turn originating in Witten’s interpretation of Morse theory [60]; cf. [50]). Let us brie y describe Floer’s work in the simplest setting (cf. [5]). Assuming that M is symplectically aspherical, that is !j ˇ 2(M) = 0; c 1(M;!)j ˇ 2(M) = 0; one”