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arXiv · 1412.0084

Non-standard Symplectic Structures via Symplectic Cohomology

Dustin Tran
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Abstract

We examine how symplectic cohomology may be used as an invariant on symplectic structures, and investigate the non-uniqueness of these structures on Liouville domains, a field which has seen much development in the past decade. Notably, we prove the existence of infinitely many non-standard symplectic structures on finite type Liouville manifolds for dimensions $n\geq 6$. To do this, we build up notions of Liouville domains, Lefschetz fibrations, and symplectic cohomology.

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Dustin Tran. 2014-11-29. Non-standard Symplectic Structures via Symplectic Cohomology. https://arxiv.org/abs/1412.0084

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