"Geometry and physics of knot homology"의 두 판 사이의 차이
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imported>Pythagoras0 |
Pythagoras0 (토론 | 기여) |
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| (다른 사용자 한 명의 중간 판 13개는 보이지 않습니다) | |||
| 1번째 줄: | 1번째 줄: | ||
==introduction== | ==introduction== | ||
| + | * knot homology | ||
| + | * A-polynomial | ||
| + | * quantization | ||
| + | * categorification | ||
| + | |||
| + | |||
| + | ==lectures by Gukov== | ||
* 4 lectures at MPI by Gukov | * 4 lectures at MPI by Gukov | ||
** 4/17, 4/22, 4/24, 4/25 | ** 4/17, 4/22, 4/24, 4/25 | ||
| 5번째 줄: | 12번째 줄: | ||
| − | ==lecture 1== | + | ===lecture 1=== |
* knot polynomials | * knot polynomials | ||
** Jones | ** Jones | ||
| 12번째 줄: | 19번째 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== | ||
| + | * http://www.birs.ca/events/2014/5-day-workshops/14w5073 | ||
| + | |||
==related items== | ==related items== | ||
| − | * [[ | + | * [[A-polynomial, B-model, and Quantization]] |
| + | * [[Knot invariants from exactly solvable models and representation theory]] | ||
| + | |||
| + | |||
| + | |||
| + | ==expositions== | ||
| + | * Edward Witten, Two Lectures on Gauge Theory and Khovanov Homology, http://arxiv.org/abs/1603.03854v1 | ||
| + | * Nawata, Satoshi, and Alexei Oblomkov. “Lectures on Knot Homology.” arXiv:1510.01795 [hep-Th, Physics:math-Ph], October 6, 2015. http://arxiv.org/abs/1510.01795. | ||
| + | * Piotr Sułkowski [http://www.ime.unicamp.br/~gasparim/MCC/piotr2.pdfThe 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== | ||
| + | * Stavros Garoufalidis, Aaron D. Lauda, Thang T. Q. Lê, The colored HOMFLYPT function is <math>q</math>-holonomic, arXiv:1604.08502 [math.GT], April 28 2016, http://arxiv.org/abs/1604.08502 | ||
| + | * Hee-Joong Chung, Tudor Dimofte, Sergei Gukov, Piotr Sułkowski, 3d-3d Correspondence Revisited, http://arxiv.org/abs/1405.3663v2 | ||
| + | * Elliot, Ross, and Sergei Gukov. ‘Exceptional Knot Homology’. arXiv:1505.01635 [hep-Th], 7 May 2015. http://arxiv.org/abs/1505.01635. | ||
| + | * 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. | ||
| + | |||
| + | [[분류:Knot theory]] | ||
| + | [[분류:migrate]] | ||
2020년 11월 16일 (월) 05:35 기준 최신판
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
- A-polynomial, B-model, and Quantization
- Knot invariants from exactly solvable models and representation theory
expositions
- Edward Witten, Two Lectures on Gauge Theory and Khovanov Homology, http://arxiv.org/abs/1603.03854v1
- Nawata, Satoshi, and Alexei Oblomkov. “Lectures on Knot Homology.” arXiv:1510.01795 [hep-Th, Physics:math-Ph], October 6, 2015. http://arxiv.org/abs/1510.01795.
- 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
- Stavros Garoufalidis, Aaron D. Lauda, Thang T. Q. Lê, The colored HOMFLYPT function is \(q\)-holonomic, arXiv:1604.08502 [math.GT], April 28 2016, http://arxiv.org/abs/1604.08502
- Hee-Joong Chung, Tudor Dimofte, Sergei Gukov, Piotr Sułkowski, 3d-3d Correspondence Revisited, http://arxiv.org/abs/1405.3663v2
- Elliot, Ross, and Sergei Gukov. ‘Exceptional Knot Homology’. arXiv:1505.01635 [hep-Th], 7 May 2015. http://arxiv.org/abs/1505.01635.
- 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.