We start by showing that (1) is injective. Take an u ∈ Hom (A,B)⊗ Zl that maps to zero in HomΓ (Tl(A), Tl(B)). Write u = ∑∞ j=0 l uj , uj ∈ Hom(A,B), and [u]n for ∑n j=0 l uj . Note that since Hom (A,B) is a Z-module [u]n is in Hom (A,B). Now (since u maps to zero) [u]n is the zero morphism A[l ] → B[l], so it kills the ltorsion. As it is well known, this implies the existence of a certain ψn ∈...

When G is a connected compact Lie group, and π is a closed surface group, then Hom(π,G)/G contains an open dense Out(π)-invariant subset which is a smooth symplectic manifold. This symplectic structure is Out(π)-invariant and therefore defines an invariant measure μ, which has finite volume. The corresponding unitary representation of Out(π) on L(Hom(π,G)/G, μ) contains no finite-dimensional su...

A connection-like objects, termed hom-connections are defined in the realm of non-commutative geometry. The definition is based on the use of homomorphisms rather than tensor products. It is shown that hom-connections arise naturally from (strong) connections in non-commutative principal bundles. The induction procedure of hom-connections via a map of differential graded algebras or a different...

A class of non-associative and non-coassociative generalizations of cobraided bialgebras, called cobraided Hom-bialgebras, is introduced. The non-(co)associativity in a cobraided Hom-bialgebra is controlled by a twisting map. Several methods for constructing cobraided Hombialgebras are given. In particular, Hom-type generalizations of FRT quantum groups, including quantum matrices and related q...

Hom-dendriform algebras are twisted analogs of dendriform and splittings hom-associative algebras. In this paper, we define a cohomology deformations for hom-dendriform We relate to the Hochschild-type cohomol

Following [SW2] we consider a knot group G, its commutator subgroup K = [G,G], a finite group Σ and the space Hom(K,Σ) of all representations ρ : K → Σ, endowed with the weak topology. We choose a meridian x ∈ G of the knot and consider the homeomorphism σx of Hom(K,Σ) onto itself: σxρ(a) = ρ(xax) ∀a ∈ K, ρ ∈ Hom(K,Σ). As proven in [SW1], the dynamical system (Hom(K,Σ), σx) is a shift of finite...

HOM-MEL-40/SSX2 is a SEREX-defined cancer testis antigen with frequent expression in various human neoplasms. To search for HLA-A*0201 restricted peptides that induce HOM-MEL-40/SSX2-specific CD8+ responses in breast cancer patients, we used the SYFPEITHI algorithm to identify three HOM-MEL-40/SSX2derived nonamers with high binding affinity for HLA-A*0201, which has a prevalence of 40% in the C...