Könyv Connections, Definite Forms, and Four-Manifolds Ted Petrie

Connections, Definite Forms, and Four-Manifolds

Nyelv: Angol
Kötés: Kemény kötésű
Elérhetőség: Beszállítói készleten
Küldés 14-21 napon belül
50 972 Ft
The central theme of this book is the study of self-dual connections on four-manifolds. The authors...

Információk a könyvről

Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
1991
oldal
142
EAN
9780198535997
ISBN
0198535996
Enbook ID
04527476
Súly
366
Méretek
163 x 238 x 14

Teljes leírás

The central theme of this book is the study of self-dual connections on four-manifolds. The authors have adopted a topologists' perspective and so have included many of the explicit calculations using the Atiyah-Singer index theorem as well as presenting arguments couched in terms of equivariant topology. The authors' aim is to present moduli space techniques applied to four-manifolds and to study vector bundles over four-manifolds whose structure group is SO(3). Results covered include Donaldson's proof that the only positive definite forms occur as intersection forms and the results of Fintushel and Stern which show that the integral homology cobordism group of integral homology three-spheres has elements of infinite order. Little previous knowledge of differential geometry is assumed and so postgraduate students and research workers will find this both an accessible and complete introduction to an area that is currently one of the most active in mathematical research.

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