Download or read book Moduli of Sheaves on Surfaces and Action of the Oscillator Algebra written by Vladimir Baranovsky and published by . This book was released on 2000 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Geometry of Moduli Spaces of Sheaves written by Daniel Huybrechts and published by Cambridge University Press. This book was released on 2010-05-27 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.
Download or read book Lectures on Hilbert Schemes of Points on Surfaces written by Hiraku Nakajima and published by American Mathematical Soc.. This book was released on 1999 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been realized that Hilbert schemes originally studied in algebraic geometry are closely related to several branches of mathematics, such as singularities, symplectic geometry, representation theory - even theoretical physics. This book reflects this feature of Hilbert schemes.
Download or read book The Geometry of Moduli Spaces of Sheaves written by Daniel Huybrechts and published by Vieweg+Teubner Verlag. This book was released on 2013-11-13 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as an introduction to the theory of semistable sheaves and at the same time to provide a survey of recent research results on the geometry of moduli spaces. The first part introduces the basic concepts in the theory: Hilbert polynomial, slope, stability, Harder-Narasimhan filtration, Grothendieck's Quot-scheme. It presents detailed proofs of the Grauert-Mülich Theorem, the Bogomolov Inequality, the semistability of tensor products, and the boundedness of the family of semistable sheaves. It also gives a self-contained account of the construction of moduli spaces of semistable sheaves on a projective variety à la Gieseker, Maruyama, and Simpson. The second part presents some of the recent results of the geometry of moduli spaces of sheaves on an algebraic surface, following work of Mukai, O'Grady, Gieseker, Li and many others. In particular, moduli spaces of sheaves on K3 surfaces and determinant line bundles on the moduli spaces are treated in some detail. Other topics include the Serre correspondence, restriction of stable bundles to curves, symplectic structures, irreducibility and Kodaira-dimension of moduli spaces.
Download or read book Frobenius Manifolds Quantum Cohomology and Moduli Spaces written by I͡U. I. Manin and published by American Mathematical Soc.. This book was released on with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometric Representation Theory and Gauge Theory written by Alexander Braverman and published by Springer Nature. This book was released on 2019-11-22 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a review of the vibrant areas of geometric representation theory and gauge theory, which are characterized by a merging of traditional techniques in representation theory with the use of powerful tools from algebraic geometry, and with strong inputs from physics. The notes are based on lectures delivered at the CIME school "Geometric Representation Theory and Gauge Theory" held in Cetraro, Italy, in June 2018. They comprise three contributions, due to Alexander Braverman and Michael Finkelberg, Andrei Negut, and Alexei Oblomkov, respectively. Braverman and Finkelberg’s notes review the mathematical theory of the Coulomb branch of 3D N=4 quantum gauge theories. The purpose of Negut’s notes is to study moduli spaces of sheaves on a surface, as well as Hecke correspondences between them. Oblomkov's notes concern matrix factorizations and knot homology. This book will appeal to both mathematicians and theoretical physicists and will be a source of inspiration for PhD students and researchers.
Download or read book The Geometry of Moduli Spaces of Sheaves written by Daniel Huybrechts and published by Vieweg+Teubner Verlag. This book was released on 1997-03-13 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as an introduction to the theory of semistable sheaves and at the same time to provide a survey of recent research results on the geometry of moduli spaces. The first part introduces the basic concepts in the theory: Hilbert polynomial, slope, stability, Harder-Narasimhan filtration, Grothendieck's Quot-scheme. It presents detailed proofs of the Grauert-Mülich Theorem, the Bogomolov Inequality, the semistability of tensor products, and the boundedness of the family of semistable sheaves. It also gives a self-contained account of the construction of moduli spaces of semistable sheaves on a projective variety à la Gieseker, Maruyama, and Simpson. The second part presents some of the recent results of the geometry of moduli spaces of sheaves on an algebraic surface, following work of Mukai, O'Grady, Gieseker, Li and many others. In particular, moduli spaces of sheaves on K3 surfaces and determinant line bundles on the moduli spaces are treated in some detail. Other topics include the Serre correspondence, restriction of stable bundles to curves, symplectic structures, irreducibility and Kodaira-dimension of moduli spaces.
Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1999 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Moduli Spaces of Sheaves on Surfaces in Geometric Representation Theory written by Anthony M. Licata and published by . This book was released on 2007 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: We define correspondences inside moduli spaces of framed torsion-free sheaves on P2 and show that they induce actions of Heisenberg and Clifford algebras on equivariant cohomology. These constructions give a geometric realization of level one representations of type A affine Lie algebras.
Download or read book Winter School on Mirror Symmetry Vector Bundles and Lagrangian Submanifolds written by Cumrun Vafa and published by American Mathematical Soc.. This book was released on 2001 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 16 articles presented here are based on lectures given at the Winter School on Mirror Symmetry held at Harvard University in January 1999. They represent recent progress and new directions in the field. Specific topics include Floer homology and mirror symmetry, special Lagrange fibrations, special Lagrangian submanifolds, and local mirror symmetry at higher genus. Other topics include homological mirror symmetry with higher products, categorical mirror symmetry in the elliptic curve, Lagrangian torus fibration of quintic hypersurfaces, mirror symmetry and T-duality, and mirror symmetry and actions of Braid groups on derived categories. This work lacks a subject index. c. Book News Inc.
Download or read book Mathematical Reviews written by and published by . This book was released on 2002 with total page 1092 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Walls Associated with Moduli Spaces of Sheaves Over Algebraic Surfaces written by Chong Lap Sze and published by . This book was released on 2001 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Moduli Spaces of Framed Sheaves on Ruled Surfaces written by Thomas A. Nevins and published by . This book was released on 2000 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Theoretical and Mathematical Physics written by and published by . This book was released on 2000 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1999 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Some Birational Geometric Aspects of Moduli Spaces of Sheaves on Surfaces Via Bridgeland Wall crossing written by Cristian Martinez and published by . This book was released on 2015 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2000 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt:
