Corpus ID: 212747571

The quantitative nature of reduced Floer theory

@article{Venkatesh2020TheQN,
  title={The quantitative nature of reduced Floer theory},
  author={S. Venkatesh},
  journal={arXiv: Symplectic Geometry},
  year={2020}
}

S. Venkatesh

Published 2020

Mathematics

arXiv: Symplectic Geometry

We study the reduced symplectic cohomology of disk subbundles in negative symplectic line bundles. We show that this cohomology theory "sees" the spectrum of a quantum action on quantum cohomology. Precisely, quantum cohomology decomposes into generalized eigenspaces of the action of the first Chern class by quantum cup product. The reduced symplectic cohomology of a disk bundle of radius $R$ sees all eigenspaces whose eigenvalues have size less than $R$, up to rescaling by a fixed constant… CONTINUE READING

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