£186.29

Oxford University Press - Compact Manifolds with Special Holonomy

Name: Oxford University Press - Compact Manifolds with Special Holonomy
Brand: Oxford University Press
Price: 186.29 GBP
Availability: InStock

Geometry & Topology

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Description

Advance your understanding of advanced geometry with this specialized text from the Oxford Mathematical Monographs series. Published by Oxford University Press, this book provides a rigorous foundation in connections, holonomy groups, and Riemannian, complex, and Kahler geometry. Readers will follow the proof of the Calabi conjecture and see how it leads to the existence of compact manifolds with SU(m) and Sp(m) holonomy. The text guides you through the construction and study of Calabi-Yau and hyperkahler manifolds using complex algebraic geometry. For researchers and students focusing on higher-dimensional spaces, the second half of the book offers detailed constructions of compact 7- and 8-manifolds. It covers exceptional holonomy groups G2 and Spin(7), providing new examples and calculated Betti numbers. This resource is essential for anyone studying the deep connections between geometry and topology.

Key Features

Comprehensive introduction to connections, holonomy groups, and Riemannian, complex, and Kahler geometry.

Detailed proof of the Calabi conjecture and its application to compact manifolds.

In-depth study of Calabi-Yau and hyperkahler manifolds using complex algebraic geometry.

Specialized focus on the construction of compact 7- and 8-manifolds.

Analysis of exceptional holonomy groups including G2 and Spin(7).

Includes new examples and calculated Betti numbers for advanced mathematical study.

Product Specifications

Brand: Oxford University Press
Format: hardcover
ASIN: 0198506015
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 20 July 2000
Listed Since: 15 December 2006

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Oxford University Press - Compact Manifolds with Special Holonomy

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