TY - BOOK AU - Mark Gross TI - Tropical geometry and mirror symmetry T2 - CBMS Regional Conference Series in Mathematics SN - 978-0-8218-5232-3 AV - QA582 PY - 2011///] CY - Rhode Island PB - American Mathematical Society KW - Mathematics N1 - 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 N2 - 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 ER -