"Geometry and physics of knot homology"의 두 판 사이의 차이

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(다른 사용자 한 명의 중간 판 8개는 보이지 않습니다)
21번째 줄: 21번째 줄:
 
===lecture 2===
 
===lecture 2===
 
* knot homology
 
* knot homology
** Khovanov homology - Jones
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** [[Khovanov homology]] - Jones
 
** knot Floer homology - Alexander
 
** knot Floer homology - Alexander
 
** triply graded homology - HOMFLY
 
** triply graded homology - HOMFLY
 
  
 
==memo==
 
==memo==
33번째 줄: 32번째 줄:
 
==related items==
 
==related items==
 
* [[A-polynomial, B-model, and Quantization]]
 
* [[A-polynomial, B-model, and Quantization]]
* [[knot invariants from Lie algebras]]
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* [[Knot invariants from exactly solvable models and representation theory]]
  
  
  
 
==expositions==
 
==expositions==
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* Edward Witten, Two Lectures on Gauge Theory and Khovanov Homology, http://arxiv.org/abs/1603.03854v1
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* 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]
 
* 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.
 
* 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.
 
* Sergei Gukov, Quantization and Categorification, Lecture 4. 2012. http://www.youtube.com/watch?v=e4ETGWgaZDY&feature=youtube_gdata_player.
 
  
 
==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
 +
* 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.
 
* 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:Knot theory]]
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[[분류:migrate]]

2020년 11월 16일 (월) 04:35 기준 최신판

introduction

  • knot homology
  • A-polynomial
  • quantization
  • categorification


lectures by Gukov


lecture 1

  • knot polynomials
    • Jones
    • Alexander
    • HOMFLY-PT


lecture 2

  • knot homology
    • Khovanov homology - Jones
    • knot Floer homology - Alexander
    • triply graded homology - HOMFLY

memo


related items


expositions

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.