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arXiv · 2401.06429

A note on higher structures on the complexes associated to quiver algebras with applications to toupie algebras

Yuming Liu·Bohan Xing
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Abstract

In this paper, we summarize a general method of transforming DG structures into higher structures on the various complexes related to the reduced bar resolution of a given quiver algebra using algebraic Morse theory. As an application, we describe the $A_\infty$-structures of toupie algebras. Additionally, for certain special toupie algebras, we also prove that their double homological duals are isomorphic to their associated graded algebras.

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BibTeXRIS

Yuming Liu, Bohan Xing. 2024-01-12. A note on higher structures on the complexes associated to quiver algebras with applications to toupie algebras. https://arxiv.org/abs/2401.06429

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