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PreprintCC BY 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{geller2026algebra,
  title = {{DG Algebra Structures on Mapping Cones with an Application to Edge Ideals}},
  author = {Hugh Geller and Desiree Martin and Matthew Mastroeni and Henry Potts-Rubin},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.34020},
  eprint = {2609.34020},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.34020},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - DG Algebra Structures on Mapping Cones with an Application to Edge Ideals
AU  - Hugh Geller
AU  - Desiree Martin
AU  - Matthew Mastroeni
AU  - Henry Potts-Rubin
PY  - 2026
DA  - 2026/09/27
PB  - arXiv
DO  - 10.48550/arxiv.2609.34020
UR  - https://arxiv.org/abs/2609.34020
AB  - 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.
ER  -