Select Guide Rating

• Preface ; 1. Geometry and Physics - a personal view ; 2. The Mathematical Work of Nigel Hitchin ; 3. The Einstein-Maxwell Equations, Extremal Kahler Metrics, and Seiberg-Witten Theory ; 4. The Nahm Transform for Calorons ; 5. Nahm's Equations and Free Boundary Problems ; 6. Some Aspects of the Theory of Higgs Pairs ; 7. Mirror Symmetry, Hitchin's Equations, and Langlands Duality ; 8. Higgs Bundles and Geometric Structures on Surfaces ; 9. The Locality of Holomorphic Bundles, and Locality in Quantum Field Theory ; 10. Toeplitz Operators and Hitchin's Projectively Flat Connection ; 11. Towards a Nonlinear Schwarz's List ; 12. An Introduction to Bundle Gerbes ; 13. Projective Linking and Boundaries of Positive Holomorphic Chains in Projective Manifolds, Part I ; 14. Skyrmions and Nuclei ; 15. Mirror Symmetry of Fourier-Mukai Transformation for Elliptic Calabi-Yau Manifolds ; 16. S-duality in Hyperkahler Hodge Theory ; 17. Nonembedding and Nonextension Results in Special Holonomy ; 18. Branes on Poisson Varieties ; 19. Consistent Orientation of Moduli Spaces ; Index

Select Guide Rating

• Preface ; 1. Geometry and Physics - a personal view ; 2. The Mathematical Work of Nigel Hitchin ; 3. The Einstein-Maxwell Equations, Extremal Kahler Metrics, and Seiberg-Witten Theory ; 4. The Nahm Transform for Calorons ; 5. Nahm's Equations and Free Boundary Problems ; 6. Some Aspects of the Theory of Higgs Pairs ; 7. Mirror Symmetry, Hitchin's Equations, and Langlands Duality ; 8. Higgs Bundles and Geometric Structures on Surfaces ; 9. The Locality of Holomorphic Bundles, and Locality in Quantum Field Theory ; 10. Toeplitz Operators and Hitchin's Projectively Flat Connection ; 11. Towards a Nonlinear Schwarz's List ; 12. An Introduction to Bundle Gerbes ; 13. Projective Linking and Boundaries of Positive Holomorphic Chains in Projective Manifolds, Part I ; 14. Skyrmions and Nuclei ; 15. Mirror Symmetry of Fourier-Mukai Transformation for Elliptic Calabi-Yau Manifolds ; 16. S-duality in Hyperkahler Hodge Theory ; 17. Nonembedding and Nonextension Results in Special Holonomy ; 18. Branes on Poisson Varieties ; 19. Consistent Orientation of Moduli Spaces ; Index

Select Guide Rating

• Preface ; 1. Geometry and Physics - a personal view ; 2. The Mathematical Work of Nigel Hitchin ; 3. The Einstein-Maxwell Equations, Extremal Kahler Metrics, and Seiberg-Witten Theory ; 4. The Nahm Transform for Calorons ; 5. Nahm's Equations and Free Boundary Problems ; 6. Some Aspects of the Theory of Higgs Pairs ; 7. Mirror Symmetry, Hitchin's Equations, and Langlands Duality ; 8. Higgs Bundles and Geometric Structures on Surfaces ; 9. The Locality of Holomorphic Bundles, and Locality in Quantum Field Theory ; 10. Toeplitz Operators and Hitchin's Projectively Flat Connection ; 11. Towards a Nonlinear Schwarz's List ; 12. An Introduction to Bundle Gerbes ; 13. Projective Linking and Boundaries of Positive Holomorphic Chains in Projective Manifolds, Part I ; 14. Skyrmions and Nuclei ; 15. Mirror Symmetry of Fourier-Mukai Transformation for Elliptic Calabi-Yau Manifolds ; 16. S-duality in Hyperkahler Hodge Theory ; 17. Nonembedding and Nonextension Results in Special Holonomy ; 18. Branes on Poisson Varieties ; 19. Consistent Orientation of Moduli Spaces ; Index