Morphisms between indecomposable complexes in the bounded derived category of a gentle algebra
Kristin Krogh Arnesen, Rosanna Laking, David Pauksztello
TL;DR
This paper offers a straightforward combinatorial method to describe morphisms between indecomposable complexes within the bounded derived category of gentle algebras, simplifying understanding of their morphism structures.
Contribution
It introduces a novel combinatorial approach to characterize morphisms in the derived category of gentle algebras, enhancing computational and conceptual clarity.
Findings
Provides a combinatorial description of morphisms
Simplifies analysis of indecomposable complexes
Facilitates computations in derived categories
Abstract
In this article we provide a simple combinatorial description of morphisms between indecomposable complexes in the bounded derived category of a gentle algebra.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology