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The Eta Invariant and the ConnectiveK-Theory of the Classifying Space for Cyclic 2 Groups

✍ Scribed by Egidio Barrera-Yanez; Peter B. Gilkey

Book ID
110238229
Publisher
Springer
Year
1999
Tongue
English
Weight
98 KB
Volume
17
Category
Article
ISSN
0232-704X

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πŸ“œ SIMILAR VOLUMES

The eta invariant of twisted products of
The eta invariant of twisted products of even dimensional manifolds whose fundamental group is a cyclic 2 group
✍ Egidio Barrera-Yanez πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 131 KB

Let = 2 Ξ½ 2. Let M be an even dimensional manifold with cyclic fundamental group Z . Assume the universal cover M is spin. We shall define N (M) = M Γ— M/Z 2 and express the eta invariant of N (M) in terms of the eta invariant of M. We use this computation to determine certain equivariant connective

The eta invariant and the Gromov-Lawson
The eta invariant and the Gromov-Lawson conjecture for elementary Abelian groups of odd order
✍ Boris Botvinnik; Peter B. Gilkey πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 752 KB

Let M be a compact connected spin manifold of dimension m > 5. Assume the fundamental group of M is an elementary Abelian p group of rank k where p is an odd prime. If k = 2 and m is arbitrary or if k = 3 and m is odd, we use the eta invariant to show that M admits a metric of positive scalar curvat

The mathematical theory of symmetry in s
The mathematical theory of symmetry in solids; representation theory for point groups and space groups
✍ C.J. Bradley, A.P. Cracknell πŸ“‚ Library πŸ“… 1972 πŸ› Clarendon Press 🌐 English βš– 8 MB

This book gives the complete theory of the irreducible representations of the crystallographic point groups and space groups. This is important in the quantum-mechanical study of a particle or quasi-particle in a molecule or crystalline solid because the eigenvalues and eigenfunctions of a system be