Kód: 05060035
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 th ... celý popis
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Anotace knihy
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.
Parametry knihy
Zařazení knihy Knihy v angličtině Mathematics & science Mathematics
1623 Kč
Angličtina
Osobní odběr Praha, Brno a 46611 dalších
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