Bundles with periodic maps and mod Chern polynomial

Author:
Jan Jaworowski

Journal:
Proc. Amer. Math. Soc. **132** (2004), 1223-1228

MSC (2000):
Primary 55R91, 55R40; Secondary 55M20

DOI:
https://doi.org/10.1090/S0002-9939-03-07168-5

Published electronically:
August 20, 2003

MathSciNet review:
2045442

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Abstract | References | Similar Articles | Additional Information

Abstract: Suppose that is a vector bundle with a linear periodic map of period ; the map is assumed free on the outside of the -section. A polynomial , called a mod Chern polynomial of , is defined. It is analogous to the Stiefel-Whitney polynomial defined by Dold for real vector bundles with the antipodal involution. The mod Chern polynomial can be used to measure the size of the periodic coincidence set for fibre preserving maps of the unit sphere bundle of into another vector bundle.

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Additional Information

**Jan Jaworowski**

Affiliation:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405-5701

Email:
jaworows@indiana.edu

DOI:
https://doi.org/10.1090/S0002-9939-03-07168-5

Keywords:
Periodic map,
fibre preserving map,
complex structure,
Chern classes,
lens space,
Chern polynomial,
coincidence set

Received by editor(s):
August 7, 2002

Received by editor(s) in revised form:
November 22, 2002

Published electronically:
August 20, 2003

Communicated by:
Paul Goerss

Article copyright:
© Copyright 2003
American Mathematical Society