Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 87657, 8 pages
Fixed point indices and manifolds with collars
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2Mathematics Department, Purdue University, West Lafayette 47907, IN, USA
Received 7 December 2004; Revised 25 April 2005; Accepted 24 July 2005
Copyright © 2006 Chen-Farng Benjamin and Daniel Henry Gottlieb. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
This paper concerns a formula which relates the Lefschetz number
for a map to the fixed point index
summed with the fixed point index of a derived map on part
of the boundary of . Here is a compact manifold
and is with a collar attached.