Morse homology on Hilbert spaces
By Alberto Abbondandolo, Pietro Majer. 2001
66 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/5412fb706ec92a219364fea3cccffd4534f5e875
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In Computational Theory and Mathematics
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Citations in the corpus
- LECTURES ON THE MORSE COMPLEX FOR INFINITE-DIMENSIONAL MANIFOLDS (2006, methodology): “Although in this situation we should not expect the Morse homology H ( f ) to be directly related to the singular homology of M, H ( f ) is still considerably stable with respect to modifications of the function f . For instance, if (X0; f0) and (X1; f1) satisfy conditions (PS) and (C1) ‐ (C4) (with”
- A Morse complex for infinite dimensional manifolds - Part I (2003, methodology): “ same subspace, dim(Y,V) = dim(Y,W) +dim(W,V). (A.2) Nor the notion of compact perturbation, neither the relative dimension depend on the choice of an equivalent inner product in H. A.3 Proposition. ([AM01], Proposition2.3) Let H1,H2 be Hilbert spaces and let T,S∈ L(H1,H2) be operators with closed r”
- Ordinary differential operators in Hilbert spaces and Fredholm pairs (2003, methodology): “In [ AM01 ] we constructed a Morse homology for functionals on a Hilbert space, consisting of the sum of a non-degenerate quadratic part and of a term with compact gradient.”