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Results tagged with sg.symplectic-geometry
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user 40804
Hamiltonian systems, symplectic flows, classical integrable systems
1
vote
Fredholm property of linearization of Floer map
They show in Section 8.7.c that $(dF^H)_u$ is a Fredholm operator.
What remains is simple linear algebra (even continuity is irrelevant). Suppose $A: V \times W \to U$ is a linear map, with $B = A|_V$ …
- 9,580
4
votes
Accepted
Every contractible smooth loop has a neighbourhood with $H^2=0$
Inductively isotope the skeleta of a triangulation of $M$ so that the $k$-skeleton is transverse to $c$. (We may use an isotopy to achieve transversality because the simplices are already embedded, an …
- 9,580
3
votes
Accepted
Is there an analogy of Austin-Braam approach to Bott-Morse type Hamiltonian Floer homology?
First, Austin and Braam did already apply their machine to a Floer-type theory: it was just instanton homology and not Hamiltonian Floer homology here. Their machine uses $\Bbb R$ coefficients, but yo …
- 9,580