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arXiv · 2609.34020

DG Algebra Structures on Mapping Cones with an Application to Edge Ideals

Hugh Geller·Desiree Martin·Matthew Mastroeni·Henry Potts-Rubin
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Abstract

We generalize a construction of Herzog and Takayama pertaining to differential graded algebra structures on mapping cones. Via this generalization, we provide the minimal free resolution of the edge ideal of a new graph built from suspension over a vertex cover of an old graph, and we discuss when this process preserves differential graded algebra structure on the respective resolutions.

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Hugh Geller, Desiree Martin, Matthew Mastroeni, Henry Potts-Rubin. 2026-09-27. DG Algebra Structures on Mapping Cones with an Application to Edge Ideals. https://arxiv.org/abs/2609.34020

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