Results 1  10
of
11,755
CALCULATING THE PARABOLIC CHERN CHARACTER OF A
, 2009
"... the parabolic Chern character of a locally ..."
Chern character for twisted complexes
, 710
"... In memory of Sasha Reznikov The Chern character from the algebraic K theory to the cyclic homology of associative algebras was defined by Connes and Karoubi [C], [K], [L]. Goodwillie and Jones [Go], [J] defined the negative cyclic homology and the Chern character with ..."
Abstract
 Add to MetaCart
In memory of Sasha Reznikov The Chern character from the algebraic K theory to the cyclic homology of associative algebras was defined by Connes and Karoubi [C], [K], [L]. Goodwillie and Jones [Go], [J] defined the negative cyclic homology and the Chern character with
A bivariant Chern character for . . .
, 1996
"... We define a Chern character for psummable quasihomomorphisms. We study its properties and show that it is compatible with the analytic index. The results are similar to Connes' results on the Chern character on Khomology but the methods are different. This solves most of a problem ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
We define a Chern character for psummable quasihomomorphisms. We study its properties and show that it is compatible with the analytic index. The results are similar to Connes' results on the Chern character on Khomology but the methods are different. This solves most of a problem
Chern character for twisted . . .
, 2008
"... For an orbifold X and α ∈ H 3 (X, Z), we introduce the twisted cohomology H ∗ c (X, α) and prove that the noncommutative Chern character of ConnesKaroubi establishes (X)⊗C and the twisted cohomology an isomorphism between the twisted Kgroups K ∗ α H ∗ c (X, α). This theorem, on the one hand, gene ..."
Abstract
 Add to MetaCart
For an orbifold X and α ∈ H 3 (X, Z), we introduce the twisted cohomology H ∗ c (X, α) and prove that the noncommutative Chern character of ConnesKaroubi establishes (X)⊗C and the twisted cohomology an isomorphism between the twisted Kgroups K ∗ α H ∗ c (X, α). This theorem, on the one hand
Retraction of the bivariant Chern character
 KTheory
, 2004
"... We show that the bivariant Chern character in entire cyclic cohomology constructed in a previous paper in terms of superconnections and heat kernel regularization, retracts on periodic cocycles under some finite summability conditions. The trick is a bivariant generalization of the ConnesMoscovici ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
We show that the bivariant Chern character in entire cyclic cohomology constructed in a previous paper in terms of superconnections and heat kernel regularization, retracts on periodic cocycles under some finite summability conditions. The trick is a bivariant generalization of the Connes
Equivariant cohomological chern characters
 PREPRINTREIHE SFB 478 — GEOMETRISCHE STRUKTUREN IN DER MATHEMATIK, HEFT 309
, 2004
"... We construct for an equivariant cohomology theory for proper equivariant CWcomplexes an equivariant Chern character, provided that certain conditions about the coefficients are satisfied. These conditions are fulfilled if the coefficients of the equivariant cohomology theory possess a Mackey struct ..."
Abstract

Cited by 13 (7 self)
 Add to MetaCart
We construct for an equivariant cohomology theory for proper equivariant CWcomplexes an equivariant Chern character, provided that certain conditions about the coefficients are satisfied. These conditions are fulfilled if the coefficients of the equivariant cohomology theory possess a Mackey
Relative Chern Character, Boundaries . . .
, 2008
"... For three classes of elliptic pseudodifferential operators on a compact manifold with boundary which have ‘geometric Ktheory’, namely the ‘transmission algebra ’ introduced by Boutet de Monvel [5], the ‘zero algebra’ introduced by Mazzeo in [9, 10] and the ‘scattering algebra ’ from [16] we give ex ..."
Abstract
 Add to MetaCart
explicit formulæ for the Chern character of the index bundle in terms of the symbols (including normal operators at the boundary) of a Fredholm family of fibre operators. This involves appropriate descriptions, in each case, of the cohomology with compact supports in the interior of the total space of a
THE CHERN CHARACTER FOR LIE ALGEBROIDS
, 2004
"... Abstract. We construct a Chern character for the situation ch: K0(g)→H ∗ (g, A) where g is any (k, A)Lie algebroid, A is any kalgebra of characteristic zero and H ∗ (g, A) is the LieRinehart cohomology of g. As a corollary we prove existence of the classical Chern character ch: K0(A)→H ∗ dR (A), ..."
Abstract
 Add to MetaCart
Abstract. We construct a Chern character for the situation ch: K0(g)→H ∗ (g, A) where g is any (k, A)Lie algebroid, A is any kalgebra of characteristic zero and H ∗ (g, A) is the LieRinehart cohomology of g. As a corollary we prove existence of the classical Chern character ch: K0(A)→H ∗ dR (A
ETA FORMS AND THE CHERN CHARACTER
, 2002
"... ABSTRACT: The semitopological nature of the etainvariant of a selfadjoint elliptic differential operator derives from a relative identification with a Chern character. This remarkable semilocality property of the etainvariant can be seen in spectral flow formulae and many other applications [AP ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
ABSTRACT: The semitopological nature of the etainvariant of a selfadjoint elliptic differential operator derives from a relative identification with a Chern character. This remarkable semilocality property of the etainvariant can be seen in spectral flow formulae and many other applications
Equivariance of generalized Chern characters
, 904
"... In this note some generalization of the Chern character is discussed from the chromatic point of view. We construct a multiplicative Gn+1equivariant natural transformation Θ from some height n + 1 cohomology theory E ∗ (−) to the height n cohomology theory K ∗ (−)b⊗FL, where K ∗ (−) is essentially ..."
Abstract
 Add to MetaCart
In this note some generalization of the Chern character is discussed from the chromatic point of view. We construct a multiplicative Gn+1equivariant natural transformation Θ from some height n + 1 cohomology theory E ∗ (−) to the height n cohomology theory K ∗ (−)b⊗FL, where K ∗ (−) is essentially
Results 1  10
of
11,755