Adjacent connected sums and torus actions
Author:
Dennis McGavran
Journal:
Trans. Amer. Math. Soc. 251 (1979), 235254
MSC:
Primary 57S25; Secondary 57N15, 57Q15, 57R05
MathSciNet review:
531977
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Abstract: Let M and N be closed, compact manifolds of dimension m and let X be a closed manifold of dimension with embeddings of into M and N. Suppose the interior of is removed from M and N and the resulting manifolds are attached via a homeomorphism . Let this homeomorphism be of the form where . The resulting manifold, written as , is called the adjacent connected sum of M and N along X. In this paper definitions and examples are given and the examples are then used to classify actions of the torus on closed, compact, connected, simply connected manifolds, .
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029947197905319775
PII:
S 00029947(1979)05319775
Keywords:
Adjacent connected sums,
torus actions,
simply connected manifolds,
orbit space
Article copyright:
© Copyright 1979
American Mathematical Society
