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Minimal Resolutions via Algebraic Discrete Morse Theory
 
Michael Jöllenbeck Phillips-Universität Marburg, Marburg, Germany
Volkmar Welker Philipps-Universität Marburg, Marburg, Germany
Minimal Resolutions via Algebraic Discrete Morse Theory
eBook ISBN:  978-1-4704-0529-8
Product Code:  MEMO/197/923.E
List Price: $66.00
MAA Member Price: $59.40
AMS Member Price: $39.60
Minimal Resolutions via Algebraic Discrete Morse Theory
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Minimal Resolutions via Algebraic Discrete Morse Theory
Michael Jöllenbeck Phillips-Universität Marburg, Marburg, Germany
Volkmar Welker Philipps-Universität Marburg, Marburg, Germany
eBook ISBN:  978-1-4704-0529-8
Product Code:  MEMO/197/923.E
List Price: $66.00
MAA Member Price: $59.40
AMS Member Price: $39.60
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1972009; 74 pp
    MSC: Primary 13; 05;

    Forman's discrete Morse theory is studied from an algebraic viewpoint. Analogous to independent work of Emil Sköldberg, the authors show that this theory can be aplied to chain complexes of free modules over a ring and provide four applications of this theory.

  • 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 ($p$-)Borel fixed ideals
    • Appendix A. The bar and the Hochschild complex
    • Appendix B. Proofs for algebraic discrete Morse theory
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1972009; 74 pp
MSC: Primary 13; 05;

Forman's discrete Morse theory is studied from an algebraic viewpoint. Analogous to independent work of Emil Sköldberg, the authors show that this theory can be aplied to chain complexes of free modules over a ring and provide four applications of this theory.

  • 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 ($p$-)Borel fixed ideals
  • Appendix A. The bar and the Hochschild complex
  • Appendix B. Proofs for algebraic discrete Morse theory
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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