LEADER 02070nam 22004335 450 001 9910437864803321 005 20250717131811.0 010 $a93-86279-60-6 024 7 $a10.1007/978-93-86279-60-6 035 $a(CKB)3150000000023835 035 $a(DE-He213)978-93-86279-60-6 035 $a(MiAaPQ)EBC5394695 035 $a(PPN)203672291 035 $a(BIP)49084699 035 $a(EXLCZ)993150000000023835 100 $a20170720d2013 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAtiyah-Singer Index Theorem - An Introduction $eAn Introduction /$fby Amiya Mukherjee 205 $a1st ed. 2013. 210 1$aGurgaon :$cHindustan Book Agency :$cImprint: Hindustan Book Agency,$d2013. 215 $a1 online resource (276 p.) 225 1 $aTexts and Readings in Mathematics 311 08$a93-80250-54-1 330 $aThis monograph is a thorough introduction to the Atiyah-Singer index theorem for elliptic operators on compact manifolds without boundary. The main theme is only the classical index theorem and some of its applications, but not the subsequent developments and simplifications of the theory. The book is designed for a complete proof of the K-theoretic index theorem and its representation in terms of cohomological characteristic classes, with an effort to make the demands on the knowledge of background materials as modest as possible by supplying the proofs of all most every result. The applications include Hirzebruch signature theorem, Riemann-Roch-Hirzebruch theorem, Atiyah-Segal-Singer fixed point theorem, etc. 410 0$aTexts and Readings in Mathematics 606 $aMathematics 606 $aMathematics 615 0$aMathematics. 615 14$aMathematics. 676 $a510 700 $aMukherjee$b Amiya$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755607 906 $aBOOK 912 $a9910437864803321 996 $aAtiyah-Singer Index Theorem - An Introduction$92522953 997 $aUNINA