02070nam 22004335 450 991043786480332120250717131811.093-86279-60-610.1007/978-93-86279-60-6(CKB)3150000000023835(DE-He213)978-93-86279-60-6(MiAaPQ)EBC5394695(PPN)203672291(BIP)49084699(EXLCZ)99315000000002383520170720d2013 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierAtiyah-Singer Index Theorem - An Introduction An Introduction /by Amiya Mukherjee1st ed. 2013.Gurgaon :Hindustan Book Agency :Imprint: Hindustan Book Agency,2013.1 online resource (276 p.)Texts and Readings in Mathematics93-80250-54-1 This monograph is a thorough introduction to the Atiyah-Singer index theorem for elliptic operators on compact manifolds without boundary. The main theme is only the classical index theorem and some of its applications, but not the subsequent developments and simplifications of the theory. The book is designed for a complete proof of the K-theoretic index theorem and its representation in terms of cohomological characteristic classes, with an effort to make the demands on the knowledge of background materials as modest as possible by supplying the proofs of all most every result. The applications include Hirzebruch signature theorem, Riemann-Roch-Hirzebruch theorem, Atiyah-Segal-Singer fixed point theorem, etc.Texts and Readings in MathematicsMathematicsMathematicsMathematics.Mathematics.510Mukherjee Amiyaauthttp://id.loc.gov/vocabulary/relators/aut755607BOOK9910437864803321Atiyah-Singer Index Theorem - An Introduction2522953UNINA