تقارن آینه‌ای و هندسه گرمسیری: کنفرانس NSF-CBMS در مورد هندسه گرمسیری و تقارن آینه‌ای

This Volume Contains Contributions From The Nsf-cbms Conference On Tropical Geometry And Mirror Symmetry, Which Was Held From December 13-17, 2008 At Kansas State University In Manhattan, Kansas. It Gives An Excellent Picture Of Numerous Connections Of Mirror Symmetry With Other Areas Of Mathematics (especially With Algebraic And Symplectic Geometry) As Well As With Other Areas Of Mathematical Physics. The Techniques And Methods Used By The Authors Of The Volume Are At The Frontier Of This Very Active Area Of Research.|this Volume Contains Contributions From The Nsf-cbms Conference On Tropical Geometry And Mirror Symmetry, Which Was Held From December 13-17, 2008 At Kansas State University In Manhattan, Kansas. It Gives An Excellent Picture Of Numerous Connections Of Mirror Symmetry With Other Areas Of Mathematics (especially With Algebraic And Symplectic Geometry) As Well As With Other Areas Of Mathematical Physics. The Techniques And Methods Used By The Authors Of The Volume Are At The Frontier Of This Very Active Area Of Research. Contents 6 Preface 8 Invited Lectures 10 Closed form expressions for Hodge numbers of complete intersection Calabi-Yau threefolds in toric varieties 14 Anchored Lagrangian submanifolds and their Floer theory 28 1. Introduction 29 2. Novikov rings 32 3. Anchors and abstract index 34 4. Anchors, action functional and action spectrum 36 5. Grading and filtration 38 6. Orientation 42 7. Floer chain complex 47 ࠀ⸀ 伀戀猀琀爀甀挀琀椀漀渀 愀渀搀 䄢Ḁ 猀琀爀甀挀琀甀爀 48 9. Comparison between anchored and non-anchored versions 57 10. Reduction of the coefficient ring and Galois symmetry 61 References 66 Motivic Donaldson-Thomas invariants: summary of results 68 On the structure of supersymmetric T3 fibrations 104 Log Hodge groups on a toric Calabi-Yau degeneration 126 Tropical theta characteristics 178 Containing contributions from the NSF-CBMS Conference on Tropical Geometry and Mirror Symmetry, this volume gives a picture of numerous connections of mirror symmetry with other areas of mathematics (especially with algebraic and symplectic geometry) as well as with other areas of mathematical physics.