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A New Proof of the Integral Localization Formula for Equivariantly Closed Differential Forms

by Matvei Libine , 2008
"... In this article we give a totally new proof of the integral localization formula for equivariantly closed differential forms (Theorem 7.11 in [BGV]). It is restated here as Theorem 2, and our version of it appears here as Theorem 5. Although the result itself is well-known, this new proof is valid f ..."
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In this article we give a totally new proof of the integral localization formula for equivariantly closed differential forms (Theorem 7.11 in [BGV]). It is restated here as Theorem 2, and our version of it appears here as Theorem 5. Although the result itself is well-known, this new proof is valid

FORMULAS FOR INTERSECTION NUMBERS IN Q-HAMILTONIAN REDUCED SPACES

by Lisa Jeffrey, Joon-hyeok Song , 2008
"... Abstract. Jeffrey and Kirwan [20] gave expressions for intersection pairings on the reduced space µ −1 (0)/G of a particular Hamiltonian G-space M in terms of iterated residues. The definition of quasi-Hamiltonian spaces was introduced in [2]. In [4] a localization formula for equivariant de Rham co ..."
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Abstract. Jeffrey and Kirwan [20] gave expressions for intersection pairings on the reduced space µ −1 (0)/G of a particular Hamiltonian G-space M in terms of iterated residues. The definition of quasi-Hamiltonian spaces was introduced in [2]. In [4] a localization formula for equivariant de Rham

Cut-and-Project Sets in Locally Compact Abelian Groups

by Martin Schlottmann
"... . The cut-and-project formalism in arbitrary locally compact Abelian groups is investigated. It is established that a generalization of the well-known formula for the density of the resulting cut-and-project sets holds. Furthermore, a necessary and sucient criterion for the existence of a cut-and ..."
Abstract - Cited by 51 (3 self) - Add to MetaCart
. The cut-and-project formalism in arbitrary locally compact Abelian groups is investigated. It is established that a generalization of the well-known formula for the density of the resulting cut-and-project sets holds. Furthermore, a necessary and sucient criterion for the existence of a cut

Gorenstein injective dimension, Bass formula and Gorenstein rings

by Leila Khatami , Siamak Yassemi , 2008
"... Let (R, m, k) be a noetherian local ring. It is well-known that R is regular if and only if the injective dimension of k is finite. In this paper it is shown that R is Gorenstein if and only if the Gorenstein injective dimension of k is finite. On the other hand a generalized version of the so-calle ..."
Abstract - Cited by 2 (1 self) - Add to MetaCart
Let (R, m, k) be a noetherian local ring. It is well-known that R is regular if and only if the injective dimension of k is finite. In this paper it is shown that R is Gorenstein if and only if the Gorenstein injective dimension of k is finite. On the other hand a generalized version of the so

GLlのスーパーカスピダル表現の指標公 式 (CHARACTER FORMULA FOR THE SUPERCUSPIDAL REPRESENTATIONS OF GLl)

by unknown authors
"... Let l be a prime, A a central simple algebra of dimension l2 over a non-archimedean local field F and E/F an extension of degree l in A. As is well-known ([15], [5]), any irreducible supercuspidal representation of A × is obtained from a quasi-character of E×. The aim of this paper is to get a chara ..."
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Let l be a prime, A a central simple algebra of dimension l2 over a non-archimedean local field F and E/F an extension of degree l in A. As is well-known ([15], [5]), any irreducible supercuspidal representation of A × is obtained from a quasi-character of E×. The aim of this paper is to get a

Localizing volatilities

by Marc Atlan, Université Pierre, Marie Curie , 2004
"... We propose two main applications of Gyöngy (1986)’s construction of inhomogeneous Markovian stochastic differential equations that mimick the one-dimensional marginals of continuous Itô processes. Firstly, we prove Dupire (1994) and Derman and Kani (1994)’s result. We then present Bessel-based stoch ..."
Abstract - Cited by 4 (0 self) - Add to MetaCart
-based stochastic volatility models in which this relation is used to compute analytical formulas for the local volatility. Secondly, we use these mimicking techniques to extend the well-known local volatility results to a stochastic interest rates framework. 1

SIMPLE MASS FORMULAS ON SHIMURA VARIETIES OF PEL-TYPE

by Chia-fu Yu , 2007
"... Abstract. We give a unified formulation of a mass for arbitrary abelian varieties with PEL-structures and show that it equals a weighted class number of a reductive Q-group G relative to an open compact subgroup U of G(Af), or simply called an arithmetic mass. We classify the special objects for whi ..."
Abstract - Cited by 7 (7 self) - Add to MetaCart
an arithmetic mass. The moduli space does not need to have good reduction at p. This generalizes a well-known result for superspecial abelian varieties. 1.

From spin glasses to hard satisfiable formulas

by Haixia Jia, Cris Moore, Bart Selman - In Proceedings of SAT’04 , 2004
"... Abstract. We introduce a highly structured family of hard satisfiable 3-SAT formulas corresponding to an ordered spin-glass model from statistical physics. This model has provably “glassy ” behavior; that is, it has many local optima with large energy barriers between them, so that local search algo ..."
Abstract - Cited by 14 (0 self) - Add to MetaCart
is tuned to the height of the barriers between local minima, and we use this parameter to measure the barrier heights in random 3-XOR-SAT formulas as well. 1

LOCALIZATION THEOREMS BY SYMPLECTIC CUTS

by Lisa Jeffrey, Mikhail Kogan , 2003
"... Abstract. Given a compact symplectic manifold M with the Hamiltonian action of a torus T, let zero be a regular value of the moment map, and M0 the symplectic reduction at zero. Denote by κ0 the Kirwan map H ∗ T (M) → H ∗ (M0). For an equivariant cohomology class η ∈ H ∗ T (M) we present new locali ..."
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is equal to that of T) we give a new proof of the Jeffrey-Kirwan localization formula [JK1].

A note on Radford’s S 4 formula

by L. Delvaux, A. Van Daele, Shuanhong Wang , 2006
"... In this note, we show that Radford’s formula for the fourth power of the antipode can be proven for any regular multiplier Hopf algebra with integrals (algebraic quantum groups). This of course not only includes the case of a finite-dimensional Hopf algebra but also the case of any Hopf algebra with ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
with integrals (co-Frobenius Hopf algebras). The proof follows in a few lines from well-known formulas in the theory of regular multiplier Hopf algebras with integrals. We discuss these formulas and their importance in this theory. We also mention their generalizations to the (in a certain sense) more general
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