Opening book details…
Can I read Tropical Geometry and Mirror Symmetry (Cbms Regional Conference Series in Mathematics) on EtoBox?
Tropical Geometry and Mirror Symmetry (Cbms Regional Conference Series in Mathematics) by Mark Gross is a nonfiction available to read on EtoBox.
What is Tropical Geometry and Mirror Symmetry (Cbms Regional Conference Series in Mathematics) about?
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
Who reads Tropical Geometry and Mirror Symmetry (Cbms Regional Conference Series in Mathematics)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Mark Gross
- Publisher
- Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society with support from the National Science Foundation
- Published
- 2011
- Language
- EN
- ISBN
- 9781470415723
- Category
- nonfiction
- Subjects
- Mathematics, Stem
More by Mark Gross
Browse all works by Mark Gross
Similar books
- Dirichlet Branes and Mirror Symmetry (Clay Mathematics Monographs, 4) — Paul S. Aspinwall, Tom Bridgeland, Alastair Craw, Michael R. Douglas, Mark Gross, Anton Kapustin, Gregory W. Moore, Graeme Segal, Balazs Szendroi, and P.M.H. Wilson (2009)
- Lectures on Geometric Methods in Mathematical Physics (CBMS-NSF Regional Conference Series in Applied Mathematics) (CBMS-NSF Regional Conference Series in Applied Mathematics) — Jerrold E Marsden; Society for Industrial and Applied Mathematics (1987)
- Branching in the Presence of Symmetry (CBMS-NSF Regional Conference Series in Applied Mathematics) (CBMS-NSF Regional Conference Series in Applied Mathematics) — David H Sattinger; D H Sattinger (1987)
- Geometric Analysis and Function Spaces (Cbms Regional Conference Series in Mathematics) — Steven G Krantz; Conference Board of the Mathematical Sciences (1993)
- The Mathematics of Diffusion (CBMS-NSF Regional Conference Series in Applied Mathematics) — Wei-Ming Ni (2011)
- Metrics, Connections and Gluing Theorems (Cbms Regional Conference Series in Mathematics) — Clifford Henry Taubes (1996)
