Name: Spin/Pin-Structures and Real Enumerative Geometry (en Inglés)
SKU: 56282941
Price: 197.08 USD
Availability: InStock
Author: Chen, Xujia ; Zinger, Aleksey
ISBN: 9789811278532

portada Spin/Pin-Structures and Real Enumerative Geometry (en Inglés)

Spin/Pin-Structures and Real Enumerative Geometry (en Inglés)

Formato

Libro Físico

Autor

Xujia Chen

Aleksey Zinger

Editorial

World Scientific Publishing Company

Idioma

Inglés

N° páginas

468

Encuadernación

Tapa Dura

Dimensiones

22.9x15.2x2.5 cm

Peso

0.79 kg.

ISBN13

9789811278532

Categorías

Geometría algebraica

Spin/Pin-Structures and Real Enumerative Geometry (en Inglés)

Xujia Chen (Autor) · Aleksey Zinger (Autor) · World Scientific Publishing Company · Tapa Dura

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Reseña del libro "Spin/Pin-Structures and Real Enumerative Geometry (en Inglés)"

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 Čech cohomology perspective on fiber bundles and Lie group covering spaces.