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Algebraic Structures And Moduli Spaces - 9780821835685

Un libro in lingua di Hurtubise Jacques (EDT) Markman Eyal (EDT) edito da Amer Mathematical Society, 2004

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In these proceedings and lecture notes from the Centre de Rechereches Mathématiques workshop of July 2003, contributors examine the structure of moduli spaces, focusing on the algebraic structures underlying them. This volume includes the introductory lecture series by Lehn on the topology and geometry of Hilbert schemes of points on surfaces and another by Nakajima and Yoshioka about their research on instanton counting. Topics of papers given here include hyper- Kähler Nahm transforms; instanton counting via affine Lie algebras, L-equivalent J functions of (affine) flag manifolds and Whittaker vectors; how the Gysin map is compatible with mixed Hodge structures; representations of fundamental groups of nonorientable 2- manifolds, Mukai flops and derived categoreis; Fourier-Mukai numbers of a K3 surface; derived equivalent of holomorphic symplectic manifolds; the affine stratification number and the moduli space of curves; coherent sheaves on generic compact tori; and the cohomology rings of Hilbert schemes via Jack polynomials. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)

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