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The spinorial τ-invariant and 0-dimensional surgery
-
B. Ammann
Veröffentlicht/Copyright:
29. Oktober 2008
Abstract
Let M be a compact manifold with a metric g and with a fixed spin structure χ. Let 
be the first non-negative eigenvalue of the Dirac operator on (M,g,χ).
We set
where the infimum runs over all metrics g of volume 1 in a conformal class [g0] on M and where the supremum runs over all conformal classes [g0] on M.
Let 
be obtained from (M,χ) by 0-dimensional surgery. We prove that
.
As a corollary we can calculate τ(M,χ) for any Riemann surface M.
Received: 2006-08-31
Revised: 2007-07-12
Published Online: 2008-10-29
Published in Print: 2008-November
© Walter de Gruyter Berlin · New York 2008
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Artikel in diesem Heft
- Topology of negatively curved real affine algebraic surfaces
- The spinorial τ-invariant and 0-dimensional surgery
- Well-posedness, blow-up phenomena, and global solutions for the b-equation
- Siegel disks and periodic rays of entire functions
- Isomorphisms between Leavitt algebras and their matrix rings
- The number of smallest parts in the partitions of n
- Modular analogues of Jordan's theorem for finite linear groups
- Prime specialization in higher genus I
- Filling inequalities do not depend on topology
- Erratum to "Modular curves and Ramanujan's continued fraction"
Artikel in diesem Heft
- Topology of negatively curved real affine algebraic surfaces
- The spinorial τ-invariant and 0-dimensional surgery
- Well-posedness, blow-up phenomena, and global solutions for the b-equation
- Siegel disks and periodic rays of entire functions
- Isomorphisms between Leavitt algebras and their matrix rings
- The number of smallest parts in the partitions of n
- Modular analogues of Jordan's theorem for finite linear groups
- Prime specialization in higher genus I
- Filling inequalities do not depend on topology
- Erratum to "Modular curves and Ramanujan's continued fraction"
