Results 11 to 20 of about 27,493 (74)
Cheeger-Simons differential characters with compact support and Pontryagin duality [PDF]
, 2019 By adapting the Cheeger-Simons approach to differential cohomology, we establish a notion of differential cohomology with compact support. We show that it is functorial with respect to open embeddings and that it fits into a natural diagram of exact ...
Becker, Christian +3 more
core +3 more sources
Secondary characteristic class of Lie algebra extensions [PDF]
Bulletin de la Société Mathématique de France, 2017 We introduce a notion of secondary characteristic classes of Lie algebra extensions. As a spin-off of our construction we obtain a new proof of Lecomte's generalization of the Chern-Weil homomorphism.
Stefan Wagner
semanticscholar +1 more source
PROJECTIVE SPECTRUM IN BANACH ALGEBRAS [PDF]
, 2008 For a tuple A = (A1, A2, …, An) of elements in a unital algebra over ℂ, its projective spectrumP(A) or p(A) is the collection of z ∈ ℂn, or respectively z ∈ ℙn-1 such that A(z) = z1A1 + z2A2 + ⋯ + znAn is not invertible in .
Rongwei Yang
semanticscholar +1 more source
Chern character in twisted K-theory: equivariant and holomorphic cases [PDF]
, 2002 It has been argued by Witten and others that in the presence of a nontrivial B-field, D-brane charges in type IIB string theories are measured by twisted K-theory.
Mathai, Varghese, Stevenson, Danny
core +7 more sources
The Weil-Petersson current for moduli of vector bundles and applications to orbifolds [PDF]
, 2016 We investigate stable holomorphic vector bundles on a compact complex K\"ahler manifold and more generally on an orbifold that is equipped with a K\"ahler structure.
Biswas, Indranil, Schumacher, Georg
core +3 more sources
Flat connections and cohomology invariants [PDF]
, 2017 The main goal of this article is to construct some geometric invariants for the topology of the set F of flat connections on a principal G‐bundle P→M . Although the characteristic classes of principal bundles are trivial when F≠∅ , their classical Chern ...
I. Biswas, M. Castrillón López
semanticscholar +1 more source
Cohomological obstructions to Nielsen realization [PDF]
, 2014 For a based manifold (M,*) , the question of whether the surjective homomorphism Diff(M,*)→π0Diff(M,*) admits a section is an example of a Nielsen realization problem.
Bena Tshishiku
semanticscholar +1 more source
A Suggestion for Modification of Vafa-Witten Theory [PDF]
, 1995 Using the Mathai-Quillen formalism we reexamine the twisted N=4 supersymmetric model of Vafa-Witten theory. Smooth out the relation between the supersymmetric action and the path integral representation of the Thom class.Comment: Latex, 23kb, no ...
Atiyah +16 more
core +3 more sources
$L_\infty$-Algebra Models and Higher Chern-Simons Theories [PDF]
, 2016 We continue our study of zero-dimensional field theories in which the fields take values in a strong homotopy Lie algebra. In a first part, we review in detail how higher Chern-Simons theories arise in the AKSZ-formalism.
Ritter, Patricia, Saemann, Christian
core +3 more sources
The Chern-Galois character [PDF]
, 2003 Following the idea of Galois-type extensions and entwining structures, we define the notion of a principal extension of noncommutative algebras. We show that modules associated to such extensions via finite-dimensional corepresentations are finitely ...
Brzezinski, Tomasz, Hajac, Piotr M.
core +3 more sources