27,604 research outputs found
Chern character for totally disconnected groups
Full text linkIn this paper we construct a bivariant Chern character for the equivariant -theory
of a totally disconnected group with values in bivariant equivariant cohomology in the sense of
Baum and Schneider. We prove in particular that the complexified left hand side of the Baum-Connes
conjecture for a totally disconnected group is isomorphic to cosheaf homology.
Moreover, it is shown that our transformation extends the Chern character defined by Baum and
Schneider for profinite groups
Bott-Chern cohomology of solvmanifolds
No full textWe study conditions under which sub-complexes of a double complex of vector
spaces allow to compute the Bott-Chern cohomology. We are especially aimed at
studying the Bott-Chern cohomology of a special class of solvmanifolds
Bott–Chern cohomology and q-complete domains
Full text linkIn studying the Bott–Chern and Aeppli cohomologies for q-complete manifolds, we introduce the class of cohomologically Bott–Chern q-complete manifolds
Symplectic Bott-Chern cohomology of solvmanifolds
No full textWe study the symplectic Bott-Chern cohomology by L.-S. Tseng and S.-T. Yau
for solvmanifolds endowed with left-invariant symplectic structures
Chern-flat and Ricci-flat invariant almost Hermitian structure
Full text linkWe study nilmanifolds endowed with a Chern connectio
Integral cohomology and chern classes of the special linear group over the ring of integers
No full textThis paper is devoted to the complete calculation of the additive structure of the 2-torsion of the integral cohomology of the innite special linear group SL(Z) over the ring of integers Z. This enables us to determine the best upper bound for the order of the Chern classes of all integral and rational representations of discrete groups.</p
Transfer-matrix method based on perturbation expansion for periodic and quasi-periodic binary long-period gratings
No full textCrystallographic orientation effects on the generation of coherent acoustic phonons in wurtzite multiple quantum wells
No full textOrbit Chern classes in invariant theory
No full textLet G be a finite group, F be a field, and r: G --> GL(n,F) a representation of G. The group G acts via r on the algebra F[V] of polynomial functions on the representation space V. The main object of the study is the ring of invariants F[V]^G. The orbit Chern classes are the elementary symmetric polynomials in the elements of an orbit of G acting on the space of linear forms V^* regarded as elements of F[V]^G. In many cases, the orbit Chern classes are sufficient to generate the ring of invariants as an algebra. In this paper I will discuss the role of Chern classes in invariant theory, main results and open questions related to the subject.This thesis won 2nd Place in the Texas Tech University Outstanding Thesis and Dissertation Award, Mathematics, Physical Sciences & Engineering, 2012.Embargo status: Restricted from online display. To request an access exception from the author, click on the PDF link to the left
A note on amplitudes in N=6 superconformal Chern-Simons theory
No full textThis is the accepted version of an article subsequently published in Journal of High Energy Physics July 2012, 2012:160. The original publication is available at www.springerlink.com http://link.springer.com/article/10.1007%2FJHEP07%282012%29160This version deposited to arXiv 30-07-12 arXiv:1205.6705v3 [hep-th
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