Equivariant method for periodic maps
Author:
Wu Hsiung Huang
Journal:
Trans. Amer. Math. Soc. 189 (1974), 175183
MSC:
Primary 57D70
MathSciNet review:
0334247
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Abstract: The notion of coherency with submanifolds for a Morse function on a manifold is introduced and discussed in a general way. A Morse inequality for a given periodic transformation which compares the invariants called qth Euler numbers on fixed point set and the invariants called qth Lefschetz numbers of the transformations is thus obtained. This gives a fixed point theorem in terms of qth Lefschetz number for arbitrary q.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029947197403342479
PII:
S 00029947(1974)03342479
Keywords:
Periodic transformation,
manifold,
fixed point set,
isometry,
Lefschetz number,
Betti number,
Morse function,
coherency,
fixed point theorem
Article copyright:
© Copyright 1974
American Mathematical Society
