Geometry As Seen By String Theory
arXiv:0901.1881
Abstract
These lecture notes review the topological string theory and its applications to mathematics and physics. They expand on material presented at the Takagi Lectures of the Mathematical Society of Japan on 21 June 2008 at Department of Mathematics, Kyoto University.
29 pages, 2 figures
References in corpus (22)
- Large N Field Theories, String Theory and Gravity
- Dirichlet-Branes and Ramond-Ramond Charges
- Phases of Theories In Two Dimensions
- Fivebranes, Membranes and Non-Perturbative String Theory
- Black Hole Attractors and the Topological String
- D-Branes on Calabi-Yau Spaces and Their Mirrors
- Quantum Foam and Topological Strings
- Worldsheet Derivation of a Large N Duality
- Precision Counting of Small Black Holes
- Topological String Partition Functions as Polynomials
- A Farey Tail for Attractor Black Holes
- Seiberg-Witten Theory and Random Partitions
- Quantum Calabi-Yau and Classical Crystals
- Crystal Melting and Toric Calabi-Yau Manifolds
- Chern-Simons Gauge Theory As A String Theory
- M-theory and a Topological String Duality
- From AdS3/CFT2 to Black Holes/Topological Strings
- Ads(3)/CFT(2) to Ads(2)/CFT(1)
- Topological String Theory on Compact Calabi-Yau: Modularity and Boundary Conditions
- On the noncommutative Donaldson-Thomas invariants arising from brane tilings
- On a proof of the Labastida-Marino-Ooguri-Vafa conjecture
- Topological Gravity as Large N Topological Gauge Theory