Compactness

  • Daniel S. Freed
  • Karen K. Uhlenbeck
  • Mathematical Sciences Research Institute
Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 1)

Abstract

The invariance of signature under oriented cobordism, a crucial ingredient in Donaldson’s Theorem, depends on the compactness of the underlying manifolds. In this chapter we prove that \( \overline M \) , the cobordism M ~ II m ℂ℩2 is compact.

Keywords

Manifold 

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Copyright information

© Springer-Verlag New York Inc. 1991

Authors and Affiliations

  • Daniel S. Freed
    • 1
  • Karen K. Uhlenbeck
    • 1
  • Mathematical Sciences Research Institute
    • 2
  1. 1.Department of MathematicsUniversity of Texas at AustinAustinUSA
  2. 2.BerkeleyUSA

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