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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 …
bas's user avatar
  • 186
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 …
bas's user avatar
  • 186
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 …
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  • 186