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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
Available Formats:
Electronic 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 Click above image for expanded view Minimal Resolutions via Algebraic Discrete Morse Theory Michael Jöllenbeck Phillips-Universität Marburg, Marburg, Germany Volkmar Welker Philipps-Universität Marburg, Marburg, Germany Available Formats:  Electronic 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.

• 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 reviewers who would like to review an AMS book
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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 reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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