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Modern Geometry by Vicente Muñoz, Ivan Smith and Richard P. Thomas, editors is a book available to read on EtoBox.

What is Modern Geometry about?

Cover 1 Title page 3 Contents 5 Preface 7 Graded linearisations 9 1. GIT with classical linearisations 14 2. Extended, graded and torus-graded linearisations 23 3. Applications 25 References 28 Atiyah-Floer conjecture: A formulation, a strategy of proof and generalizations 31 1. Introduction 31 2. The Extended Moduli Spaces of Flat Connections 34 3. Equivariant Lagrangian Floer Homology 37 4. Lagrangian Floer Theory in a Smooth Divisor Complement 40 5. The Atiyah-Floer Conjecture 42 6. Atiyah-Floer Conjecture and Moduli Space of Solutions to the Mixed Equation 48 7. Yang-Mills Gauge Theory and 3-Manifolds with Boundary 52 8. Lagrangians and A_{∞}-categories 54 9. Cut-down Extended Moduli Spaces for Other Lie Groups 57 10. Admissible Bundles and Instanton Floer Homology 60 References 62 Weinstein manifolds revisited 67 1. Weinstein manifolds, domains, cobordisms 67 2. Weinstein hypersurfaces and Weinstein pairs 70 3. Operations on Weinstein pairs 75 4. Looseness and Flexibility 78 5. Lagrangian submanifolds of Weinstein domains 81 6. Symplectic topology of Weinstein manifolds 82 7. Topology of Weinstein fillings 83 8. Nadler’s program of arborealization 84 References 88 Remarks on N

Author

Vicente Muñoz, Ivan Smith and Richard P. Thomas, editors

Language

EN