Logo

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

Large book cover: Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem

Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem
by

Publisher: Publish or Perish Inc.
ISBN/ASIN: 0849378745
Number of pages: 536

Description:
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 geometrical theorem for a manifold with smooth boundary.

Home page url

Download or read it online for free here:
Download link
(DVI, PS)

Similar books

Book cover: Euclidean Random Matrices and Their Applications in PhysicsEuclidean Random Matrices and Their Applications in Physics
by - arXiv
We review the state of the art of the theory of Euclidean random matrices, focusing on the density of their eigenvalues. Both Hermitian and non-Hermitian matrices are considered and links with simpler random matrix ensembles are established.
(6700 views)
Book cover: Mathemathical Methods of Theoretical PhysicsMathemathical Methods of Theoretical Physics
by - Edition Funzl
This book presents the course material for mathemathical methods of theoretical physics intended for an undergraduate audience. The author most humbly presents his own version of what is important for standard courses of contemporary physics.
(9047 views)
Book cover: Differential Equations of Mathematical PhysicsDifferential Equations of Mathematical Physics
by - arXiv
These lecture notes give an overview of how to view and solve differential equations that are common in physics. They cover Hamilton's equations, variations of the Schroedinger equation, the heat equation, the wave equation and Maxwell's equations.
(7601 views)
Book cover: Random Matrix Models and Their ApplicationsRandom Matrix Models and Their Applications
by - Cambridge University Press
The book covers broad areas such as topologic and combinatorial aspects of random matrix theory; scaling limits, universalities and phase transitions in matrix models; universalities for random polynomials; and applications to integrable systems.
(14869 views)