Equivariant Alexander-Spanier cohomology for actions of compact Lie groups.
Equivariant cohomology with local coefficients
Equivariant covering spaces and homotopy covering spaces.
Equivariant cyclic homology and equivariant differential forms
Equivariant formal group laws and complex oriented cohomology theories.
Equivariant homotopy epimorphisms, homotopy monomorphisms and homotopy equivalences.
Equivariant -theory
Equivariant one-parameter deformations of associative algebra morphisms
We introduce equivariant formal deformation theory of associative algebra morphisms. We also present an equivariant deformation cohomology of associative algebra morphisms and using this we study the equivariant formal deformation theory of associative algebra morphisms. We discuss some examples of equivariant deformations and use the Maurer-Cartan equation to characterize equivariant deformations.
Equivariant orientation theory.
Equivariant weak -equivalences.
Generalized orbifold Euler characteristic of symmetric products and equivariant Morava -theory.
Generalized orbifold Euler characteristics of symmetric orbifolds and covering spaces.
Geometric methods for cohomological invariants.
G-Invariante Morse-Funktionen.
Hecke structure on Bredon cohomology
We construct a Hecke structure on equivariant Bredon cohomology with local coefficients and then describe some of its properties. We compare this structure with the Mackey structure defined by T. tom Dieck and with the Illman transfer.
Homotopy orbits of free loop spaces
Let X be a space with free loop space ΛX and mod two cohomology R = H*X. We construct functors and ℓ(R) together with algebra homomorphisms and . When X is 1-connected and R is a symmetric algebra we show that these are isomorphisms.
Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety
We describe hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety. These hypergeometric solutions manifest the Landau-Ginzburg mirror symmetry for the cotangent bundle of a partial flag variety.
Idempotents and Landweber exactness in brave new algebra.
Integration over homogeneous spaces for classical Lie groups using iterated residues at infinity
Using the Berline-Vergne integration formula for equivariant cohomology for torus actions, we prove that integrals over Grassmannians (classical, Lagrangian or orthogonal ones) of characteristic classes of the tautological bundle can be expressed as iterated residues at infinity of some holomorphic functions of several variables. The results obtained for these cases can be expressed as special cases of one formula involving the Weyl group action on the characters of the natural representation of...
Koszul duality and equivariant cohomology.