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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 |
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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: | $39.60 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 197; 2009; 74 ppMSC: Primary 13; 05
Forman's discrete Morse theory is studied from an algebraic viewpoint. Analogous to independent work of Emil Sköldberg, the authors show that this theory can be aplied to chain complexes of free modules over a ring and provide four applications of this theory.
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Table of Contents
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Chapters
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Chapter 1. Introduction
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Chapter 2. Algebraic discrete Morse theory
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Chapter 3. Resolution of the residue field in the commutative case
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Chapter 4. Resolution of the residue field in the non-commutative case
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Chapter 5. Application to the acyclic Hochschild complex
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Chapter 6. Minimal (cellular) resolutions for ($p$-)Borel fixed ideals
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Appendix A. The bar and the Hochschild complex
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Appendix B. Proofs for algebraic discrete Morse theory
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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Volume: 197; 2009; 74 pp
MSC: Primary 13; 05
Forman's discrete Morse theory is studied from an algebraic viewpoint. Analogous to independent work of Emil Sköldberg, the authors show that this theory can be aplied to chain complexes of free modules over a ring and provide four applications of this theory.
-
Chapters
-
Chapter 1. Introduction
-
Chapter 2. Algebraic discrete Morse theory
-
Chapter 3. Resolution of the residue field in the commutative case
-
Chapter 4. Resolution of the residue field in the non-commutative case
-
Chapter 5. Application to the acyclic Hochschild complex
-
Chapter 6. Minimal (cellular) resolutions for ($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
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