Unital associahedra

TL;DR

This paper constructs a topological operad whose cellular chains correspond to homotopy unital A-infinity algebras, linking topological structures with algebraic frameworks in symplectic geometry.

Contribution

It introduces a new topological cellular operad that models homotopy unital A-infinity algebras, bridging topology and algebra in a novel way.

Findings

Constructed a topological cellular operad for homotopy unital A-infinity algebras

Established the correspondence between operad chains and algebraic structures

Provides a new framework connecting topology and algebra in symplectic geometry

Abstract

We construct a topological cellular operad such that the algebras over its cellular chains are the homotopy unital A-infinity algebras of Fukaya-Oh-Ohta-Ono.