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| 37번째 줄: | 37번째 줄: | ||
==expositions== | ==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. | * 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] | * Piotr Sułkowski [http://www.ime.unicamp.br/~gasparim/MCC/piotr2.pdfThe physics and geometry of knot homologies] | ||
| 43번째 줄: | 44번째 줄: | ||
==articles== | ==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 | * 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. | * Elliot, Ross, and Sergei Gukov. ‘Exceptional Knot Homology’. arXiv:1505.01635 [hep-Th], 7 May 2015. http://arxiv.org/abs/1505.01635. | ||
| 48번째 줄: | 50번째 줄: | ||
[[분류:Knot theory]] | [[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.