Spin Geometry
Hun 2016 · Princeton Mathematical Series Aklat 38 · Princeton University Press
E-book
440
Mga Page
family_home
Kwalipikado
info
reportHindi na-verify ang mga rating at review Matuto Pa
Tungkol sa ebook na ito
This book offers a systematic and comprehensive presentation of the concepts of a spin manifold, spinor fields, Dirac operators, and A-genera, which, over the last two decades, have come to play a significant role in many areas of modern mathematics. Since the deeper applications of these ideas require various general forms of the Atiyah-Singer Index Theorem, the theorems and their proofs, together with all prerequisite material, are examined here in detail. The exposition is richly embroidered with examples and applications to a wide spectrum of problems in differential geometry, topology, and mathematical physics. The authors consistently use Clifford algebras and their representations in this exposition. Clifford multiplication and Dirac operator identities are even used in place of the standard tensor calculus. This unique approach unifies all the standard elliptic operators in geometry and brings fresh insights into curvature calculations. The fundamental relationships of Clifford modules to such topics as the theory of Lie groups, K-theory, KR-theory, and Bott Periodicity also receive careful consideration. A special feature of this book is the development of the theory of Cl-linear elliptic operators and the associated index theorem, which connects certain subtle spin-corbordism invariants to classical questions in geometry and has led to some of the most profound relations known between the curvature and topology of manifolds.
I-rate ang e-book na ito
Ipalaam sa amin ang iyong opinyon.
Impormasyon sa pagbabasa
Mga smartphone at tablet
I-install ang Google Play Books app para sa Android at iPad/iPhone. Awtomatiko itong nagsi-sync sa account mo at nagbibigay-daan sa iyong magbasa online o offline nasaan ka man.
Mga laptop at computer
Maaari kang makinig sa mga audiobook na binili sa Google Play gamit ang web browser ng iyong computer.
Mga eReader at iba pang mga device
Para magbasa tungkol sa mga e-ink device gaya ng mga Kobo eReader, kakailanganin mong mag-download ng file at ilipat ito sa iyong device. Sundin ang mga detalyadong tagubilin sa Help Center para mailipat ang mga file sa mga sinusuportahang eReader.
