Talk:Lefschetz fixed-point theorem

{{WikiProject banner shell|class=C|

{{WikiProject Mathematics|priority=Low }}

}}

Lefschetz number

is defined arbitrarily for maps X\rightarrow X, then if we use the identity map we get \Lambda_{id}=\#(\Delta,\Delta,M\times M)=\chi(M) is the intersection number of the diagonal with itself in the product manifold M\times M, i.e., the Euler characteristic. On the algebraic topological level I'm sure this holds too, that \chi(M)=\Lambda_{id}(M). Anyone know more about this? MotherFunctor 05:55, 28 May 2006 (UTC)

:The connection is now explained.24.58.63.18 (talk) 19:07, 4 June 2009 (UTC)

References for the statements about Frobenius

it would be nice to have a reference (to look up proofs) for the statements about the Frobenius. --79.83.77.245 (talk) 00:49, 19 January 2010 (UTC)