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Hamiltonian systems, symplectic flows, classical integrable systems
1
vote
0
answers
114
views
Cup product and PSS map
Let $(M,\omega)$ be a symplectic manifold and let $H$ a Hamiltonian function. If $M$ is not closed we consider $H$ to be linear at infinity to ensure that $HF^*(H)$ is well-defined (I'm particularly i …
3
votes
1
answer
224
views
Influence of symplectic invariants of the complement on being superheavy
Let $(M,\omega)$ be a symplectic manifold.
I'm trying to show that a compact subset $K\subset M$ is $1$-superheavy [1, Definition 1.3] where $1=PD([M])$ is the unit in $QH^0(M)$.
My question is: How d …
3
votes
Accepted
Quantum homology of $(S^2 \times S^2,\omega_{FS}\oplus \omega_{FS})$ and Poincare duality
A bit late for this one, but I'll still post the answer for future visitors.
Poincaré duality on the quantum homology is just the same as Poincaré duality on normal homology, see for example the famou …