Tropical Geometry and Mirror Symmetry Book Information:

="text-align: justify; tropical Geometry provides an explanation for the remarkable power of mirror Symmetry to connect complex and symplectic Geometry. The main br>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.≪ br/> 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 br>Chapter
The fifth br>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 br>Chapter surveys reconstruction results of the author and siebert for integral tropical manifolds. a complete version of the argument is given in two dimensions.
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• Book Type/Genre :

Society & Culture

• Book Binding :

Paperback

• Language :

English

• Number of Pages :

Page count varies on each edition/reprint

• ISBN - 10 :

• Tropical Geometry and Mirror Symmetry Published On :

2017

• Resource:

Society & Social Sciences, Society & Culture Book is recommended for Students, Teachers, Graduates, Professionals, and all bibliophiles

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