The pong algebra and the wrapped Fukaya category

TL;DR

This paper establishes a connection between the pong algebra and the wrapped Fukaya category of the symmetric product of a disk, revealing a new algebraic structure within symplectic geometry.

Contribution

It identifies the pong algebra with a specific endomorphism algebra in the wrapped Fukaya category, linking algebraic and geometric frameworks.

Findings

Pong algebra is isomorphic to an endomorphism algebra in the wrapped Fukaya category.

Provides a new perspective on the algebraic structures in symplectic geometry.

Bridges previous algebraic constructions with geometric categories.

Abstract

The aim of this paper is to identify the pong algebra defined in our earlier work with a certain endomorphism algebra in the wrapped Fukaya category of the symmetric product of a disk.