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. The text starts with a detailed introduction to the notions of tropical curves and manifolds, and then gives a thorough description of ...
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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. The text starts with a detailed introduction to the notions of tropical curves and manifolds, and then gives a thorough description of both sides of mirror symmetry for projective space, bringing together material which so far can only be found scattered throughout the literature. Next follows an introduction to the log geometry of Fontaine-Illusie and Kato, as needed for Nishinou and Siebert's proof of Mikhalkin's tropical curve counting formulas. This latter proof is given in the fourth chapter. The fifth chapter considers the mirror, B-model side, giving recent results of the author showing how tropical geometry can be used to evaluate the oscillatory integrals appearing. The final chapter surveys reconstruction results of the author and Siebert for "integral tropical manifolds." A complete version of the argument is given in two dimensions. A co-publication of the AMS and CBMS.
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Add this copy of Tropical Geometry and Mirror Symmetry to cart. $71.47, like new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2011 by Published for the Conference Board of the Mathematical Scienc.
Edition:
2011, Published for the Conference Board of the Mathematical Scienc
Publisher:
Published for the Conference Board of the Mathematical Scienc
Published:
2011
Language:
English
Alibris ID:
18360276061
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Fine. Trade paperback (US). Glued binding. 317 p. Contains: Illustrations. Cbms Regional Conference Series in Mathematics. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Tropical Geometry and Mirror Symmetry (Volume 114) to cart. $71.48, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 2011 by American Mathematical Society.
Edition:
2011, Published for the Conference Board of the Mathematical Scienc
Publisher:
Published for the Conference Board of the Mathematical Scienc
Published:
2011
Language:
English
Alibris ID:
18037755882
Shipping Options:
Standard Shipping: $4.99
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Volume 114. This is an ex-library book and may have the usual library/used-book markings inside. This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 700grams, ISBN: 9780821852323.
