Extended equivariant Picard complexes and homogeneous spaces

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Equivariant - Invariants on Homogeneous Spaces

Let D be a homogeneous Dirac operator on the quotient M = G=H of two compact connected Lie groups. We construct a deformation ~ D of D and calculate its equivariant-invariant G (~ D) explicitly on the dense subset G 0 of G that acts freely on M. On G 0 , G (~ D) and G (D) diier only by a virtual character of G.

متن کامل

Equivariant Vector Bundles on Quantum Homogeneous Spaces

The notion of quantum group equivariant homogeneous vector bundles on quantum homogeneous spaces is introduced. The category of such quantum vector bundles is shown to be exact, and its Grothendieck group is determined. It is also shown that the algebras of functions on quantum homogeneous spaces are noetherian.

متن کامل

Equivariant Quantum Cohomology of Homogeneous Spaces

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.

متن کامل

Balanced Line Bundles and Equivariant Compactifications of Homogeneous Spaces

Manin’s conjecture predicts an asymptotic formula for the number of rational points of bounded height on a smooth projective variety X in terms of global geometric invariants of X. The strongest form of the conjecture implies certain inequalities among geometric invariants of X and of its subvarieties. We provide a general geometric framework explaining these phenomena, via the notion of balanc...

متن کامل

Spaces of maps into classifying spaces for equivariant crossed complexes

We give an equivariant version of the homotopy theory of crossed complexes. The applications generalize work on equivariant Eilenberg-Mac Lane spaces, including the non abelian case of dimension 1, and on local systems. It also generalizes the theory of equivariant 2-types, due to Moerdijk and Svensson. Further, we give results not just on the homotopy classification of maps but also on the hom...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Transformation Groups

سال: 2011

ISSN: 1083-4362,1531-586X

DOI: 10.1007/s00031-011-9163-4