Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory

ISBN-13: 9781108497404 / Angielski / Twarda / 2020 / 194 str.

Chris Wendl

Opis

An accessible introduction to the intersection theory of punctured holomorphic curves and its applications in topology.

Recenzje

'This is a comprehensive and outstanding research book on the Verlinde formula, conformal blocks, generalized theta functions and related topics.' Zhenbo Qin, MathSciNet

Spis treści

Introduction; 1. Closed holomorphic curves in symplectic 4-manifolds; 2. Intersections, ruled surfaces and contact boundaries; 3. Asymptotics of punctured holomorphic curves; 4. Intersection theory for punctured holomorphic curves; 5. Symplectic fillings of planar contact 3-manifolds; Appendix A. Properties of pseudoholomorphic curves; Appendix B. Local positivity of intersections; Appendix C. A quick survey of Siefring's intersection theory; References; Index.