منابع مشابه
Equivariant cobordism for torus actions
We study the equivariant cobordism groups for the action of a split torus T on varieties over a field k of characteristic zero. We show that for T acting on a variety X , there is an isomorphism ΩT ∗ (X) ⊗Ω∗(BT ) L ∼= −→ Ω∗(X). As applications, we show that for a connected linear algebraic group G acting on a k-variety X , the forgetful map ΩG ∗ (X) → Ω∗(X) is surjective with rational coefficie...
متن کاملTorus Actions and Combinatorics
These are lecture notes for a “Tapas” course given at the Fields Institute in November, 2017.
متن کامل∂∂-lemma, and Torus Actions
In this paper we first consider the Hamiltonian action of a compact connected Lie group on anH-twisted generalized complexmanifold M. Given such an action, we define generalized equivariant cohomology and generalized equivariant Dolbeault cohomology. If the generalized complex manifoldM satisfies the ∂̄∂-lemma, we prove that they are both canonically isomorphic to (Sg)⊗HH(M), where (Sg ) is the ...
متن کاملDoubling Operation for Polytopes and Torus Actions
In this note we give the definition of the ”doubling operation” for simple polytopes, find the formula for the h-polynomial of new polytope. As an application of this operation we establish the relationship between moment-angle manifolds and their real analogues and prove the toral rank conjecture for moment-angle manifolds ZP . Let P be a simple n-dimensional polytope with m facets: P = {x ∈ R...
متن کاملNormal singularities with torus actions
We propose a method to compute a desingularization of a normal affine variety X endowed with a torus action in terms of a combinatorial description of such a variety due to Altmann and Hausen. This desingularization allows us to study the structure of the singularities of X. In particular, we give criteria for X to have only rational, (Q-)factorial, or (Q-)Gorenstein singularities. We also give...
متن کاملذخیره 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: Advances in Mathematics
سال: 1989
ISSN: 0001-8708
DOI: 10.1016/0001-8708(89)90042-x