Tropical geometry and mirror symmetry

By: Mark GrossMaterial type: TextTextSeries: CBMS Regional Conference Series in Mathematics ; Vol. 114Publication details: Rhode Island: American Mathematical Society, [c2011]Description: 317 pISBN: 978-0-8218-5232-3Subject(s): MathematicsLOC classification: QA582
Contents:
Part I. The three worlds Chapter 1. The tropics Chapter 2. The A- and B-models Chapter 3. Log geometry Part II. Example: P2 Chapter 4. Mikhalkin’s curve counting formula Chapter 5. Period integrals Part III. The Gross-Siebert program Chapter 6. The program and two-dimensional results
Summary: Tropical geometry provides an explanation for the remarkable power of mirror symmetry to connect complex and symplectic geometry. The main theme of this book is the interplay between tropical geometry and mirror symmetry, culminating in a description of the recent work of Gross and Siebert using log geometry to understand how the tropical world relates the A- and B-models in mirror symmetry. --- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 6 QA582 (Browse shelf (Opens below)) Available Billno:IN 003 582; Billdate: 2018-01-11 00993
Total holds: 0

Part I. The three worlds
Chapter 1. The tropics
Chapter 2. The A- and B-models
Chapter 3. Log geometry

Part II. Example: P2
Chapter 4. Mikhalkin’s curve counting formula
Chapter 5. Period integrals

Part III. The Gross-Siebert program
Chapter 6. The program and two-dimensional results

Tropical geometry provides an explanation for the remarkable power of mirror symmetry to connect complex and symplectic geometry. The main theme of this book is the interplay between tropical geometry and mirror symmetry, culminating in a description of the recent work of Gross and Siebert using log geometry to understand how the tropical world relates the A- and B-models in mirror symmetry. --- summary provided by publisher

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