165,182 research outputs found
Chern character for totally disconnected groups
No full textIn 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
No full textIn studying the Bott–Chern and Aeppli cohomologies for q-complete manifolds, we introduce the class of cohomologically Bott–Chern q-complete manifolds
Quasi-Kahler Chern-flat manifolds and complex 2-step nilpotent Lie algebras
No full textThe study of quasi-Kaehler Chern-flat almost Hermitian manifolds is strictly related to the study of anti-bi-invariant almost complex Lie algebras. In the present paper we show that quasi-Kaehler Chern-flat almost Hermitian structures on compact manifolds are in correspondence to complex parallelisable Hermitian structures satisfying the second Gray identity. From an algebraic point of view this correspondence reads as a natural correspondence between anti-bi-invariant almost complex structures on Lie algebras to bi-invariant complex structures. Some natural algebraic problems are approached and some exotic examples are carefully describe
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
No full textWe study nilmanifolds endowed with a Chern connectio
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
Perturbative and Non-perturbative Aspects of the Chern-Simons-Witten Theory
No full textWe 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
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
J. Chern. Phys.
No full textp. 9192-9204A model for the homogeneous kinetic oscillations in the CO oxidation on Pt(100) is extended to
describe space dependent situations by the introduction of two diffusive-like processes. As is well
known these increase the size of the instability domain. Depending on the values of the diffusion
coefficients, they lead to the existence, when the surface is homogeneous, of stationary periodic
space patterns besides the uniform oscillating solutions. This may be shown both theoretically
through linear stability analysis or numerical computation
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