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In this note, we announce gluing and comparison formulas for the spectral invariants of Dirac type operators on compact manifolds and manifolds with cylindrical ends. We also explain the central ideas in their proofs.

Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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Article Info

• ERA Amer. Math. Soc. 11 (2005), pp. 1-11
• Publisher Identifier: S 1079-6762(05)00141-1
• 2000 Mathematics Subject Classification. Primary 58J28, 58J52
• Received by editors October 6, 2004
• Posted on January 14, 2005
• Communicated by Michael Taylor
• Comments (When Available)

Paul Loya

Department of Mathematics, Binghamton University, Binghamton, New York 13902

E-mail address: paul@math.binghamton.edu

Jinsung Park

Mathematisches Institut, Universit\auml;t Bonn, Beringstraße 1, D-53115 Bonn, Germany

E-mail address: jpark@math.uni-bonn.de