منابع مشابه
Orbifold Cohomology of ADE-singularities
We study Ruan’s cohomological crepant resolution conjecture [39] for orbifolds with transversal ADE singularities. In the An-case we compute both the orbifold cohomology ring H ∗ orb([Y ]) and the quantum corrected cohomology ring H(Z)(q1, ..., qn). The former is achieved in general, the later up to some additional, technical assumptions. We construct an explicit isomorphism between H orb([Y ])...
متن کاملDeformations of Symplectic Cohomology and Ade Singularities
Let X be the plumbing of copies of the cotangent bundle of a 2−sphere as prescribed by an ADE Dynkin diagram. We prove that the only exact Lagrangian submanifolds in X are spheres. Our approach involves studying X as an ALE hyperkähler manifold and observing that the symplectic cohomology of X will vanish if we deform the exact symplectic form to a generic non-exact one. We will construct the s...
متن کاملMatrix model superpotentials and ADE singularities
We use F. Ferrari’s methods relating matrix models to Calabi-Yau spaces in order to explain much of Intriligator and Wecht’s ADE classification of N = 1 superconformal theories which arise as RG fixed points of N = 1 SQCD theories with adjoints. We find that ADE superpotentials in the Intriligator–Wecht classification exactly match matrix model superpotentials obtained from Calabi-Yaus with cor...
متن کاملRoot Systems and the Quantum Cohomology of Ade Resolutions
We compute the C∗-equivariant quantum cohomology ring of Y , the minimal resolution of the DuVal singularity C/G where G is a finite subgroup of SU(2). The quantum product is expressed in terms of an ADE root system canonically associated to G. We generalize the resulting Frobenius manifold to non-simply laced root systems to obtain an n parameter family of algebra structures on the affine root...
متن کاملQuasihomogeneity of Isolated Singularities in Terms of Logarithmic Cohomology
We characterize quasihomogeneity of isolated singularities by the injectivity of the map induced by the first differential of the logarithmic differential complex in the top local cohomology supported in the singular point. 1. Formulation of the result We consider the germ of an isolated singularity D ⊆ (C, 0). Let O = OCn,0 be the ring of germs of holomorphic functions on C at the origin with ...
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2007
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x07004436