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Flat manifolds, harmonic spinors, and eta invariants
-
M Sadowski
and
A Szczepañski
Published/Copyright:
May 17, 2006
Abstract
The aim of this paper is to calculate the eta invariants and the dimensions of the spaces of harmonic spinors of an infinite family of closed flat manifolds ℱCHD. It consists of some flat manifolds M with cyclic holonomy groups. If M ∈ ℱCHD, then we give explicit formulas for η(M) and 𝔥(M). They are expressed in terms of solutions of appropriate congruences in {−1, 1}k. As an application we investigate the integrability of some η invariants of ℱCHD-manifolds.
Received: 2004-09-06
Published Online: 2006-05-17
Published in Print: 2006-03-24
© Walter de Gruyter
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Articles in the same Issue
- On ovoids of PG(3, q)
- Real algebraic morphisms on 2-dimensional conic bundles
- Interpolation of homogeneous polynomials over a finite field
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Extensions of isomorphisms for affine Grassmannians over
- Geodesics in non-positively curved plane tessellations
- Elation generalized quadrangles of order (q, q2), q even, with a classical subquadrangle of order q
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Gorenstein liaison in
- Flat manifolds, harmonic spinors, and eta invariants
- Cremona convexity, frame convexity and a theorem of Santaló
- Two-transitive ovals
