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Moduli spaces and vector bundles

Author: Steve Bradlow
Publisher: Cambridge, UK ; New York : Cambridge University Press, 2009.
Series: London Mathematical Society lecture note series, 359.
Edition/Format:   Print book : EnglishView all editions and formats
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Coverage includes foundational material as well as current research, authored by top specialists within their fields.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Steve Bradlow
ISBN: 9780521734714 0521734711
OCLC Number: 281098940
Description: x, 505 pages : illustrations ; 23 cm.
Contents: Preface; Acknowledgments; Part I. Lecture Notes: 1. Lectures on principal bundles V. Balaji; 2. Brill-Noether theory for stable vector bundles Ivona Grzegorczyk and Montserrat Teixidor i Bigas; 3. Fourier-Mukai and Nahm transforms U. Bruzzo, D. Hernandez Ruiperez and C. Tejero Prieto; 4. Geometric invariant theory P. E. Newstead; 5. Deformation theory for vector bundles N. Nitsure; 6. The theory of vector bundles S. Ramanan; Part II. Survey articles: 7. Moduli of sheaves from moduli of Kronecker modules L. Alvarez-Consul and A. King; 8. Coherent Systems: a brief survey S. B. Bradlow; 9. Higgs bundles surface group representations Oscar Garcia-Prada; 10. Quotients by non-reductive algebraic group actions Frances Kirwan; 11. Dualities on T*SUx(2,Ox) E. Previato; 12. Moduli spaces for principal bundles A. H. W. Schmitt; Part III. Research Articles: 13. Beilinson type spectral sequences on scrolls M. Aprodu and V. Brinzanescu; 14. Coherent systems on a nodal curve Usha N. Bhosle; 15. Brill-Noether bundles and coherent systems on special curves L. Brambila-Paz and Angela Ortega; 16. Higgs bundles in the vector representation N. Hitchin; 17. Moduli spaces of torsion free sheaves on nodal curves C. S. Seshadri.
Series Title: London Mathematical Society lecture note series, 359.
Responsibility: edited by Steven B. Bradlow [and others].

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