ABSTRACT
Let M be a manifold and ip: Af —» M a map. Then p induces an endomorphism p* of the (complex) cohomology of A/, and the Lefschetz number L((f) of ip is defined by
LW) = B - 1)’ tr(^* on H«{M)). (10.1) <1
The classical Lefschetz formula (see Spanier [69]) expresses L(ip) as a sum over the fixed points of ip. In particular, if L(ip) ^ 0, then p has got some fixed points!
