Surface topology and involutive bimodules
Nariya Kawazumi
TL;DR
This paper explores the homological properties of involutive Lie bialgebras and their bimodules, connecting algebraic structures to surface topology problems.
Contribution
It highlights fundamental homological facts about involutive Lie bialgebras and introduces related surface topology problems.
Findings
Basic homological facts on involutive Lie bialgebras
Identification of surface topology problems related to these algebraic structures
Discussion of potential research directions in the field
Abstract
We remark some basic facts on homological aspects of involutive Lie bialgebras and their involutive bimodules, and present some problems on surface topology related to these facts.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra