Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds
Bohui Chen, Kaoru Ono, Bai-Ling Wang
TL;DR
This paper introduces dihedral twisted sectors to develop Lagrangian Floer theory on symplectic orbifolds, addressing key issues in orbifold Gromov-Witten theory.
Contribution
It proposes a new class of twisted sectors, dihedral twisted sectors, for use in Lagrangian Floer theory on symplectic orbifolds, expanding the theoretical framework.
Findings
Definition of dihedral twisted sectors
Construction of Lagrangian Floer theory on orbifolds
Discussion of related theoretical issues
Abstract
The notion of twisted sectors play a crucial role in orbifold Gromov-Witten theory. We introduce the notion of dihedral twisted sectors in order to construct Lagrangian Floer theory on symplectic orbifolds and discuss related issues.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory