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

@book{citeulike:1289222, abstract = {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. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.}, author = {Gilkey, Peter B.}, citeulike-article-id = {1289222}, citeulike-linkout-0 = {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0849378745}, citeulike-linkout-1 = {http://www.amazon.de/exec/obidos/redirect?tag=citeulike01-21&path=ASIN/0849378745}, citeulike-linkout-2 = {http://www.amazon.fr/exec/obidos/redirect?tag=citeulike06-21&path=ASIN/0849378745}, citeulike-linkout-3 = {http://www.amazon.co.uk/exec/obidos/ASIN/0849378745/citeulike00-21}, citeulike-linkout-4 = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0849378745}, citeulike-linkout-5 = {http://www.worldcat.org/isbn/0849378745}, citeulike-linkout-6 = {http://books.google.com/books?vid=ISBN0849378745}, citeulike-linkout-7 = {http://www.amazon.com/gp/search?keywords=0849378745&index=books&linkCode=qs}, citeulike-linkout-8 = {http://www.librarything.com/isbn/0849378745}, day = {22}, howpublished = {Hardcover}, isbn = {0849378745}, keywords = {atiyah-singer\_index\_theorem, heat\_equation, invariance\_theory}, month = {December}, posted-at = {2007-05-11 08:24:19}, priority = {2}, publisher = {CRC}, title = {Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem}, url = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0849378745}, year = {1994} }

TY - BOOK ID - citeulike:1289222 L3 - citeulike-article-id:1289222 N2 - 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. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation. SN - 0849378745 TI - Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem PB - CRC KW - atiyah-singer_index_theorem KW - heat_equation KW - invariance_theory AU - Gilkey, Peter PY - 1994/12/22/ UR - http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0849378745 ER -