نتایج جستجو برای: equivariant cohomology
تعداد نتایج: 15625 فیلتر نتایج به سال:
We use Young’s raising operators to introduce and study double eta polynomials, which are an even orthogonal analogue of Wilson’s double theta polynomials. Our double eta polynomials give Giambelli formulas which represent the equivariant Schubert classes in the torus-equivariant cohomology ring of even orthogonal Grassmannians, and specialize to the single eta polynomials of Buch, Kresch, and ...
We prove a Chevalley formula for the equivariant quantum multiplication of two Schubert classes in the homogeneous variety X = G/P . As in the case when X is a Grassmannian ([Mi1]), this formula implies an algorithm to compute the structure constants of the equivariant quantum cohomology algebra of X.
In this paper we use the Morse theory of the Yang-Mills-Higgs functional on the singular space of Higgs bundles on Riemann surfaces to compute the equivariant cohomology of the space of semistable U(2, 1) and SU(2, 1) Higgs bundles with fixed Toledo invariant. In the non-coprime case this gives new results about the topology of the U(2, 1) and SU(2, 1) character varieties of surface groups. The...
Working from first principles, quantization of a class of symmetric Hamiltonian systems whose constraint algebras are not closed is carried out by constructing first the appropriate reduced phase space and then the brst cohomology. The brst operator constructed is equivariant with respect to a subgroup H of the symmetry group G of the system. Using algebraic techniques from equivariant de Rham ...
Hyperkähler Analogues of Kähler Quotients by Nicholas James Proudfoot Doctor of Philosophy in Mathematics University of California, Berkeley Professor Allen Knutson, Chair Let X be a Kähler manifold that is presented as a Kähler quotient of Cn by the linear action of a compact group G. We define the hyperkähler analogue M of X as a hyperkähler quotient of the cotangent bundle T ∗Cn by the induc...
The construction of topological index maps for equivariant families of Dirac operators requires factoring a general smooth map through maps of a very simple type: zero sections of vector bundles, open embeddings, and vector bundle projections. Roughly speaking, a normally non-singular map is a map together with such a factorisation. These factorisations are models for the topological index map....
We introduce new invariants in equivariant birational geometry and study their relation to modular symbols cohomology of arithmetic groups.
We define an equivariant K0-theory for Yetter-Drinfeld algebras over a Hopf algebra with an invertible antipode. We show that there exists a pairing, generalizing Connes’ pairing, between this theory and a suitably defined Hopf algebra equivariant cyclic cohomology theory.
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