Morphisms between indecomposable complexes in the bounded derived category of a gentle algebra

By K. Arnesen, Rosanna Laking, David Pauksztello. 2014

59 citations recorded by the source corpus.

In this article we provide a simple combinatorial description of morphisms between indecomposable complexes in the bounded derived category of a gentle algebra.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d046b3fc2005c6ca61d30dd55a921dc61037054c

Citations in the corpus

• A complete derived invariant for gentle algebras via winding numbers and Arf invariants (2019, unknown): “Their derived categories are well-understood [6, 13, 16, 17, 19, 20, 31].”
• A geometric model for the derived category of gentle algebras (2018, unknown): “s of graded curves with the objects in the bounded derived category Db(A− mod) is given in Section 2. In Section 3 we establish a correspondence between a basis of homomorphism in Db(A− mod) given in [4] and the crossing of curves (in minimal position) in SA. The mapping cones of the basis of homomo”