Work

Legendrian surgery

Year: 2024

Type: preprint

Abstract: This is an overview paper that describes Eliashberg's Legendrian surgery approach to wrapped Floer cohomology and use it to derive the basic relations between various holomorphic curve theories with additional algebraic constructions. We also give a brief discussion of further results that use the surgery perspective, e.g., for holomorphic curve invariants of singular Legendrians and Lagrangians.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2411.12144

Author: Ekholm, Tobias

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Knut och Alice Wallenbergs Stiftelse, Vetenskapsrådet, Uppsala Universitet

Awards: Symplectic geometry, topological string theory, and low-dimensional topology, Center for Geometry and Physics

OpenAlex ID: W4404573607

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