NettetThe conference focused on three main areas of Lefschetz's research: algebraic geometry, algebraic topology and differential geometry. (source: Nielsen Book … NettetThe classical Lefschetz xed-point formula Lefschetz xed-point theorem Some immediate corollaries Brouwer’s xed point theorem. Every self-map of a contractible manifold has a xed point. Every self-map of a Q-acyclic manifold has a xed point. Particular case: RP2k. The Lefschetz formula is very powerful because it not only asserts
Analytic Torsion, Flows and Foliations SpringerLink
Nettet5. jun. 2024 · In this case the Lefschetz formula (1) shows that the Lefschetz number $ \Lambda ( f , X ) $ is equal to the difference between the number of fixed points with index $ + 1 $ and the number of fixed points with index $ - 1 $; in particular, it does not exceed the total number of fixed points. NettetTheorem 1.1 (Lefschetz formula) The differentials of the complex Cϕ have closed range for any ϕ, so the cohomology spaces Hp(Cϕ) are Hausdorff. The unit generator H of … on top of everything
A Lefschetz formula for affine buildings Semantic Scholar
Nettet20. aug. 2007 · Since the early seventies flows with the Lefschetz property were studied by several authors. In this paper a Lefschetz formula is proved for the geodesic flow of a compact locally symmetric space. The flow is described in terms of actions of split tori of various dimensions and the geometric side of the Lefschetz formula is a sum over … NettetРабота посвящена формулам Лефшеца для потоков на компактных многообразиях, сохраняющих слоение коразмерности один и имеющих неподвижные точки. Мы разрабатываем подход к формулам Лефшеца, основанный на понятии ... Nettet1. okt. 2005 · Lefschetz formulae and zeta functions Authors: Anton Deitmar Abstract The connection between Lefschetz formulae and zeta function is explained. As a particular example the theory of the... on top of everything else 意味