"Geometry and physics of knot homology"의 두 판 사이의 차이
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| 21번째 줄: | 21번째 줄: | ||
===lecture 2=== | ===lecture 2=== | ||
* knot homology | * knot homology | ||
| − | ** Khovanov homology - Jones | + | ** [[Khovanov homology]] - Jones |
** knot Floer homology - Alexander | ** knot Floer homology - Alexander | ||
** triply graded homology - HOMFLY | ** triply graded homology - HOMFLY | ||
| − | |||
==memo== | ==memo== | ||
2014년 9월 24일 (수) 01:56 판
introduction
- knot homology
- A-polynomial
- quantization
- categorification
lectures by Gukov
- 4 lectures at MPI by Gukov
- 4/17, 4/22, 4/24, 4/25
- notes taken at https://docs.google.com/file/d/0B8XXo8Tve1cxYzlJUk5aU21EZTA/edit
lecture 1
- knot polynomials
- Jones
- Alexander
- HOMFLY-PT
lecture 2
- knot homology
- Khovanov homology - Jones
- knot Floer homology - Alexander
- triply graded homology - HOMFLY
memo
expositions
- Piotr Sułkowski physics and geometry of knot homologies
- Gukov, Sergei, and Ingmar Saberi. 2012. “Lectures on Knot Homology and Quantum Curves.” arXiv:1211.6075 [hep-Th] (November 26). http://arxiv.org/abs/1211.6075.
- Sergei Gukov, Quantization and Categorification, Lecture 4. 2012. http://www.youtube.com/watch?v=e4ETGWgaZDY&feature=youtube_gdata_player.
articles
- Chung, Hee-Joong, Tudor Dimofte, Sergei Gukov, and Piotr Sułkowski. “3d-3d Correspondence Revisited.” arXiv:1405.3663 [hep-Th], May 14, 2014. http://arxiv.org/abs/1405.3663.