The lectures comprising this volume were delivered by P. E. Conner at the University of Texas at Austin in 1978. The lectures are intended to give mathematicians at the graduate level and beyond some powerful algebraic and number theoretical tools for formulating and solving certain types of classification problems in topology.
Sprache
Verlagsort
Zielgruppe
Maße
Höhe: 280 mm
Breite: 216 mm
Dicke: 9 mm
Gewicht
ISBN-13
978-0-292-74067-9 (9780292740679)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
P. E. Conner was Nicholson Professor of Mathematics at Louisiana State University.
Introduction
I. Relative Quadratic Extensions
1. Extension of primes
2. Hilbert symbols
3. The group Gen(E/F)
4. The group Iso(E/F)
5. The unramified case
6. Examples
II. The Witt Ring H(E)
1. General definitions
2. Anisotropic representatives
3. Invariants for H(E)
4. Algebraic number fields
III. Torsion Forms
1. Torsion OE-modules
2. The quotient E/K
3. Torsion innerproducts
4. Localizers
5. The inverse different
IV. The Group Hu(K)
1. Basic definitions
2. The group Iso(E/F) again
3. The Knebusch exact sequence
4. Localization
5. Computing Hu(K)
6. The ring H(OE)
7. The Cokernel of ?
V. The Witt Ring W(OF)
1. Symbols
2. The boundary operator
3. The ring W(OF)
References
Symbol List
