The Heat Equation and the Index Theorem -- Expository Comments
| Title | The Heat Equation and the Index Theorem -- Expository Comments PDF eBook |
| Author | Patrick Shanahan |
| Publisher | |
| Pages | 92 |
| Release | 1988* |
| Genre | Heat equation |
| ISBN |
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The Index Theorem and the Heat Equation Method
| Title | The Index Theorem and the Heat Equation Method PDF eBook |
| Author | Yanlin Yu |
| Publisher | World Scientific Publishing Company Incorporated |
| Pages | 287 |
| Release | 2001 |
| Genre | Mathematics |
| ISBN | 9789810246105 |
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This book provides a self-contained representation of the local version of the Atiyah-Singer index theorem. It contains proofs of the Hodge theorem, the local index theorems for the Dirac operator and some first order geometric elliptic operators by using the heat equation method. The proofs are up to the standard of pure mathematics. In addition, a Chern root algorithm is introduced for proving the local index theorems, and it seems to be as efficient as other methods.
The Index Theorem and the Heat Equation
| Title | The Index Theorem and the Heat Equation PDF eBook |
| Author | Peter B. Gilkey |
| Publisher | Publish or Perish |
| Pages | 134 |
| Release | 1974 |
| Genre | Mathematics |
| ISBN |
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The Index Theorem and the Heat Equation
| Title | The Index Theorem and the Heat Equation PDF eBook |
| Author | Peter E. Gilkey |
| Publisher | |
| Pages | |
| Release | 1974 |
| Genre | |
| ISBN |
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The Index Theorem and the Heat Equations
| Title | The Index Theorem and the Heat Equations PDF eBook |
| Author | Peter B. Gilkey |
| Publisher | |
| Pages | 125 |
| Release | 1974 |
| Genre | |
| ISBN |
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Mathematical Reviews
| Title | Mathematical Reviews PDF eBook |
| Author | |
| Publisher | |
| Pages | 1108 |
| Release | 2005-06 |
| Genre | Mathematics |
| ISBN |
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Expository Lectures on Topology Geometry and Gauge Theories
| Title | Expository Lectures on Topology Geometry and Gauge Theories PDF eBook |
| Author | Yilmaz Akyildiz |
| Publisher | |
| Pages | 158 |
| Release | 1983 |
| Genre | Gauge fields (Physics) |
| ISBN |
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