The Dixmier-Douady class in the simplicial de Rham complex
نویسندگان
چکیده
منابع مشابه
Principal Bundles and the Dixmier Douady Class
A systematic consideration of the problem of the reduction and extension of the structure group of a principal bundle is made and a variety of techniques in each case are explored and related to one another. We apply these to the study of the DixmierDouady class in various contexts including string structures, Ures bundles and other examples motivated by considerations from quantum field theory.
متن کاملEquivariant Dixmier-Douady Classes
An equivariant bundle gerbe à la Meinrenken over a G-manifold M is known to be a special type of S-gerbe over the differentiable stack [M/G]. We prove that the natural morphism relating the Cartan and simplicial models of equivariant cohomology in degree 3 maps the Dixmier-Douady class of an equivariant bundle gerbe à la Meinrenken to the Behrend-Xu-Dixmier-Douady class of the corresponding S-g...
متن کاملChiral de Rham complex. II
To Dmitry Borisovich Fuchs, on his 60-th birthday This paper is a sequel to [MSV]. It consists of three parts. The first part is an expanded version of the last section of [MSV] 1. We give here certain construction of vertex algebras which includes in particular the ones appearing in loc. cit.
متن کاملA Conformal de Rham Complex
We introduce the notion of a conformal de Rham complex of a Riemannian manifold. This is a graded differential Banach algebra and it is invariant under quasiconformal maps, in particular the associated cohomology is a new quasiconformal invariant.
متن کاملSwan Conductors and Torsion in the Logarithmic de Rham Complex
We prove, for an arithmetic scheme X/S over a discrete valuation ring whose special fiber is a strict normal crossings divisor in X, that the Swan conductor of X/S is equal to the Euler characteristic of the torsion in the logarithmic de Rham complex of X/S. This is a precise logarithmic analog of a theorem by Bloch [1].
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: Kodai Mathematical Journal
سال: 2013
ISSN: 0386-5991
DOI: 10.2996/kmj/1383660693