منابع مشابه
Twisted Genera of Symmetric Products
We prove very general formulae for the generating series of (Hodge) genera of symmetric products X with coefficients, which hold for complex quasi-projective varietiesX with any kind of singularities, and which include many of the classical results in the literature as special cases. Important specializations of our results include generating series for extensions of Hodge numbers and Hirzebruc...
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In this note we prove an identity that equates the elliptic genus partition function of a supersymmetric sigma model on the N -fold symmetric product M/SN of a manifold M to the partition function of a second quantized string theory on the space M × S1. The generating function of these elliptic genera is shown to be (almost) an automorphic form for O(3, 2, Z). In the context of D-brane dynamics...
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For a space X acted by a finite group Γ, the product space X affords a natural action of the wreath product Γn = Γ n ⋊ Sn. The direct sum of equivariant K-groups ⊕ n≥0 KΓn(X )⊗C were shown earlier by the author to carry several interesting algebraic structures. In this paper we study the Kgroups K H̃Γn (X) of Γn-equivariant Clifford supermodules on X . We show that F Γ (X) = ⊕ n≥0 H̃Γn (X)⊗ C is ...
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Let K be any field, K(x1, . . . , xn) be the rational function field of n variables over K, and Sn and An be the symmetric group and the alternating group of degree n respectively. For any a ∈ K \ {0}, define an action of Sn on K(x1, . . . , xn) by σ · xi = xσ(i) for σ ∈ An and σ · xi = a/xσ(i) for σ ∈ Sn \ An. Theorem. For any field K and n = 3, 4, 5, the fixed field K(x1, . . . , xn) Sn is ra...
متن کاملCALCULATIONS OF THE HIRZEBRUCH χy GENERA OF SYMMETRIC PRODUCTS BY THE HOLOMORPHIC LEFSCHETZ FORMULA
We calculate the Hirzebruch χy andˆχy-genera of symmetric products of closed complex manifolds by the holomorphic Lefschetz formula of Atiyah and Singer [4]. Such calculation rederive some formulas proved in an earlier paper [14] by a different method. Let M be a smooth manifold, and G a finite group of diffeomorphisms. There are two kinds of interesting cohomology theories for the orbifold M/G...
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ژورنال
عنوان ژورنال: Selecta Mathematica
سال: 2011
ISSN: 1022-1824,1420-9020
DOI: 10.1007/s00029-011-0072-0