Lectures on Morse Homology

By A. Banyaga, D. Hurtubise. 2005

198 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/bd13e0f8adcea360f12cc02c18fd00266db7a93d

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. Kim A. Frøyshov
2. P. Biran
3. O. Cornea
4. M. Abouzaid
5. Yuli B. Rudyak
6. Alexander Dranishnikov

In Geometry and Topology

1. O. Cornea
2. P. Biran
3. Kim A. Frøyshov
4. P. Seidel
5. I. Smith
6. Urs Frauenfelder
7. L. Polterovich
8. F. Schlenk

In Mathematical Physics

1. O. Cornea
2. P. Biran
3. Kim A. Frøyshov
4. P. Seidel
5. L. Polterovich
6. F. Schlenk
7. M. Abouzaid
8. Kai Cieliebak

Citations in the corpus

• Lagrangian topology and enumerative geometry (2010, background): “13 Orientations in Morse theory There are several different orientation conventions regarding Morse theory (see eg Audin and Damian [4], Banyaga and Hurtubise [9], Salamon [41] and Schwarz [43]).”
• Monopole Floer homology for rational homology 3-spheres (2008, methodology): “ of ϑ, whereas HFq(Y) was obtained from HF∗(Y,m) by a limiting construction as m= 1 2ind(θ) →∞. 55 We will now interpret this construction in terms of finite-dimensional Morse theory (see for instance [2]). As our analogue of By(Y) we consider a compact manifold-with-boundary V of positive dimension ”