Fredholm Theory for Pseudoholomorphic Curves with Brake Symmetry
Beijia Zhou, Chaofeng Zhu
TL;DR
This paper develops a Fredholm theory for pseudoholomorphic curves exhibiting brake symmetry in contact manifolds, defining their moduli space and calculating its virtual dimension.
Contribution
It introduces the concept of pseudoholomorphic curves with brake symmetry and derives the virtual dimension of their moduli space.
Findings
Defined pseudoholomorphic curves with brake symmetry
Constructed the moduli space for these curves
Calculated the virtual dimension of the moduli space
Abstract
In this paper we study pseudoholomorphic curves with brake symmetry in symplectization of a closed contact manifold. We introduce the pseudoholomorphic curve with brake symmetry and the corresponding moduli space. Then we get the virtual dimension of the moduli space.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Geometric Analysis and Curvature Flows