239,175 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
On the -Lemma and Bott-Chern cohomology
No full textOn a compact complex manifold X, we prove a Frölicher-type inequality for Bott-Chern cohomology and we show that the equality holds if and only if X satisfies the ∂∂− -Lemma
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
Perturbative and Non-perturbative Aspects of the Chern-Simons-Witten Theory
Full text linkWe investigate a relation between non-perturbative and perturbative cases in the 2+1 dimensional Chern-Simons-
Witten (CSW) theory for G = E6 gauge group. In the perturbative case, we calculate the vacuum expectation value(VEV) of an unknotted Wilson loop operator up to order 1/k3 (k is a coupling constant). The result above is proved
to be identical to the polynomial invariant E0 (ρ) in the non-perturbative case at the same order of expansion
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
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