Invariance theory, heat equation, and the index theorem

Invariance theory, heat equation, and th

✍ Peter B. Gilkey 📂 Library 📅 1985 🏛 Publish or Perish 🌐 English ⚖ 2 MB

This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrica

Invariance Theory: The Heat Equation and

Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem

✍ Gilkey P.B. 📂 Library 📅 1996 🌐 English ⚖ 819 KB

This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrica

Invariance Theory, the Heat Equation, an

Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem (1984)

✍ Singer, Peter 📂 Fiction 📅 0 🌐 English ⚖ 2 MB

Index theorem and heat equation method

✍ Yanlin Yu 📂 Library 📅 2001 🏛 World Scientific Publishing Company 🌐 English ⚖ 1 MB

Provides a self-contained representation of the local version of the Atiyah-Singer index theorem. For researchers and graduate students in mathematics.

On the heat equation and the index theor

On the heat equation and the index theorem

✍ M. Atiyah; R. Bott; V. K. Patodi 📂 Article 📅 1975 🏛 Springer-Verlag 🌐 English ⚖ 213 KB

Dynkin’s Isomorphism Theorem and the Sto

Dynkin’s Isomorphism Theorem and the Stochastic Heat Equation

✍ Nathalie Eisenbaum; Mohammud Foondun; Davar Khoshnevisan 📂 Article 📅 2010 🏛 Springer Netherlands 🌐 English ⚖ 387 KB