Lingua: Inglese
Editore: World Scientific Publishing Co Pte Ltd, 2024
ISBN 10: 9811278539 ISBN 13: 9789811278532
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Lingua: Inglese
Editore: World Scientific Pub Co Inc, 2023
ISBN 10: 9811278539 ISBN 13: 9789811278532
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Aggiungi al carrelloBuch. Condizione: Neu. SPIN/PIN-STRUCTURES AND REAL ENUMERATIVE GEOMETRY | Chen Xujia | Buch | Englisch | 2023 | World Scientific | EAN 9789811278532 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand.
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Aggiungi al carrelloBuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Spin/Pin-structures on vector bundles have long featured prominently in differential geometry, in particular providing part of the foundation for the original proof of the renowned Atiyah-Singer Index Theory. More recently, they have underpinned the symplectic topology foundations of the so-called real sector of the mirror symmetry of string theory.This semi-expository three-part monograph provides an accessible introduction to Spin- and Pin-structures in general, demonstrates their role in the orientability considerations in symplectic topology, and presents their applications in enumerative geometry.Part I contains a systematic treatment of Spin/Pin-structures from different topological perspectives and may be suitable for an advanced undergraduate reading seminar. This leads to Part II, which systematically studies orientability problems for the determinants of real Cauchy-Riemann operators on vector bundles. Part III introduces enumerative geometry of curves in complex projective varieties and in symplectic manifolds, demonstrating some applications of the first two parts in the process. Two appendices review the ¿ech cohomology perspective on fiber bundles and Lie group covering spaces.