Equivariant Euler characteristics andK–homology Euler classes for proper cocompactG–manifolds
نویسندگان
چکیده
منابع مشابه
Equivariant Euler characteristics and K - homology Euler classes for proper cocompact G - manifolds Wolfgang
Let G be a countable discrete group and let M be a smooth proper cocompact G-manifold without boundary. The Euler operator defines via Kasparov theory an element, called the equivariant Euler class, in the equivariant KO-homology of M. The universal equivariant Euler characteristic of M, which lives in a group UG(M), counts the equivariant cells of M , taking the component structure of the vari...
متن کاملEquivariant Euler characteristics and K -homology Euler classes for proper cocompact G-manifolds
Let G be a countable discrete group and let M be a smooth proper cocompact G-manifold without boundary. The Euler operator defines via Kasparov theory an element, called the equivariant Euler class, in the equivariant KO -homology of M. The universal equivariant Euler characteristic of M, which lives in a group UG(M), counts the equivariant cells of M , taking the component structure of the var...
متن کاملε-constants and equivariant Arakelov Euler characteristics
Let R[G] be the group ring of a finite group G over a ring R. In this article, we study Euler characteristics of bounded metrised complexes of finitely generated Z[G]-modules, with applications to Arakelov theory and the determination of ǫ-constants. A metric on a bounded complex K• of finitely generated Z[G]-modules is specified by giving for each irreducible character φ of G a metric on the d...
متن کاملEquivariant Euler characteristics of partition posets
The first part of this paper deals with the combinatorics of equivariant partitions of finite sets with group actions. In the second part, we compute all equivariant Euler characteristics of the Σn-poset of non-extreme partitions of an n-set. © 2016 Published by Elsevier Ltd.
متن کاملCubic structures, equivariant Euler characteristics and lattices of modular forms
We use the theory of cubic structures to give a fixed point Riemann-Roch formula for the equivariant Euler characteristics of coherent sheaves on projective flat schemes over Z with a tame action of a finite abelian group. This formula supports a conjecture concerning the extent to which such equivariant Euler characteristics may be determined from the restriction of the sheaf to an infinitesim...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2003
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2003.7.569