The homology of path spaces and Floer homology with conormal boundary conditions
By Alberto Abbondandolo, A. Portaluri, M. Schwarz. 2008
59 citations recorded by the source corpus.
Abstract.We define the Floer complex for Hamiltonian orbits on the cotangent bundle of a compact manifold which satisfy non-local conormal boundary conditions. We prove that the homology of this chain complex is isomorphic to the singular homology of the natural path space associated to the boundary conditions.
Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/0659c28a514b37116772379d9049e5a378b675ee
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
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- On the wrapped Fukaya category and based loops (2009, background): “Equivalence for cotangent fibres 30 Appendix A. Technical results 33 References 39”
- Microlocal Morse theory of wrapped Fukaya categories (2018, background): “The invertible module Z[1] and the automorphism −1 of the invertible module Z together define an isomorphism of infinite loop spaces Z × B(Z/2) ∼ −→ PicZ.”
- Symplectic cohomology and Viterbo's theorem (2013, methodology): “Given a positive real number b ∈ [1, 2], we can relate, as in Lemma 1.”