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Results tagged with sg.symplectic-geometry
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user 4164
Hamiltonian systems, symplectic flows, classical integrable systems
6
votes
Do the virtual fundamental classes satisfy functorial properties?
This may be not the answer you want, but in algebraic geometry there are such results, particularly in the context mentioned in Kevin Lin's comment. They usually apply to virtual classes constructed f …
- 976
10
votes
Quantum cohomology rings as invariants
Quantum cohomology, and more generally Gromov Witten invariants, are invariants under deformation.
Given a family $X$ of compact symplectic manifolds over a base $B$, to a path in $B$ one can associa …
- 976
12
votes
Why are people interested in defining GW invariant in algebraic geometry category
The first complete definition of GWI in algebraic geometry is more or less contemporary to the first complete definition in symplectic geometry. In algebraic geometry you can, e.g., use virtual locali …
- 976