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Minimal resolutions via algebraic discrete Morse theory


About this Title

Michael Jöllenbeck and Volkmar Welker

Publication: Memoirs of the American Mathematical Society
Publication Year 2009: Volume 197, Number 923
ISBNs: 978-0-8218-4257-7 (print); 978-1-4704-0529-8 (online)
DOI: http://dx.doi.org/10.1090/memo/0923
MathSciNet review: 2488864
MSC (2000): Primary 13D02; Secondary 13D03, 16E05, 58E05

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Table of Contents


Chapters

  • Chapter 1. Introduction
  • Chapter 2. Algebraic discrete Morse theory
  • Chapter 3. Resolution of the residue field in the commutative case
  • Chapter 4. Resolution of the residue field in the non-commutative case
  • Chapter 5. Application to the acyclic Hochschild complex
  • Chapter 6. Minimal (cellular) resolutions for (-)Borel fixed ideals
  • Appendix A. The bar and the Hochschild complex
  • Appendix B. Proofs for algebraic discrete Morse theory