S. Ramanan

Moduli spaces and vector bundles

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.

Moduli Spaces and Vector Bundles: Frontmatter

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.

Moduli Spaces and Vector Bundles: Research Articles

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.

Moduli Spaces and Vector Bundles: Acknowledgments

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.

Moduli Spaces and Vector Bundles: Survey Articles

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.