A Khovanov homology bibliography: Difference between revisions
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This is the very beginning of a bibliography for work on Khovanov homology. Anyone should feel free to update, modify, or comment, as they wish. |
This is the very beginning of a bibliography for work on Khovanov homology. Anyone should feel free to update, modify, or comment, as they wish. |
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*{{arxiv-ref|math.GT/0201043}} |
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*D. Bar-Natan, [http://www.math.toronto.edu/~drorbn/papers/Categorification/ On Khovanov's categorification of the Jones polynomial], Algebraic and Geometric Topology 2-16 (2002) 337-370, {{arXiv|math.GT/0201043}}. |
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*D. Bar-Natan, [http://www.math.toronto.edu/~drorbn/papers/Cobordism/ Khovanov's Homology for Tangles and Cobordisms], Geometry and Topology 9-33 (2005) 1443-1499, {{arXiv|math.GT/0410495}}. |
*D. Bar-Natan, [http://www.math.toronto.edu/~drorbn/papers/Cobordism/ ''Khovanov's Homology for Tangles and Cobordisms''], Geometry and Topology 9-33 (2005) 1443-1499, {{arXiv|math.GT/0410495}}. |
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*D. Bar-Natan, [http://www.math.toronto.edu/~drorbn/Talks/GWU-050213/index.html I've Computed Kh(T(9,5)) and I'm Happy], talk given at Knots in Washington XX, George Washington University, February 2005. |
*D. Bar-Natan, [http://www.math.toronto.edu/~drorbn/Talks/GWU-050213/index.html ''I've Computed Kh(T(9,5)) and I'm Happy''], talk given at Knots in Washington XX, George Washington University, February 2005. |
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*M. Khovanov, A categorification of the Jones polynomial, {{arXiv|math.QA/9908171}}. |
*M. Khovanov, ''A categorification of the Jones polynomial'', {{arXiv|math.QA/9908171}}. |
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*M. Khovanov, An invariant of tangle cobordisms, {{arXiv|math.QA/0207264}}. |
*M. Khovanov, ''An invariant of tangle cobordisms'', {{arXiv|math.QA/0207264}}. |
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*Paul Turner, Calculating Bar-Natan's characteristic two Khovanov homology, {{arXiv|math.GT/0411225}}. |
*Paul Turner, ''Calculating Bar-Natan's characteristic two Khovanov homology'', {{arXiv|math.GT/0411225}}. |
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*Jozef H. Przytycki, ''When the theories meet: Khovanov homology as Hochschild homology of links'', {{arXiv|math.GT/0509334}}. |
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*E. S. Lee, ''An endomorphism of the Khovanov invariant'', Advances in Mathematics 197 (2005) 554-586, {{arXiv|math.GT/0210213}}. |
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*J. Rasmussen, ''Khovanov homology and the slice genus'', {{arXiv|math.GT/0402131}}. |
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*P. Seidel and I. Smith, ''A link invariant from the symplectic geometry of nilpotent slices'', {{arXiv|math.SG/0405089}}. |
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*C. Manolescu, ''Nilpotent slices, Hilbert schemes, and the Jones polynomial'', {{arXiv|math.SG/0411015}}. |
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*O. Plamenevskaya, ''Transverse knots and Khovanov homology'', {{arXiv|math.GT/0412184}}. |
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*L. Ng, ''A Legendrian Thurston-Bennequin bound from Khovanov homology'', Algebraic and Geometric Topology 5-66 (2005) 1637-1653, {{arXiv|math.GT/0508649}}. |
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*{{bibitem|author=|title=|arXiv=math.QA/0409414}} |
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*http://arxiv.org/abs/math/0509692 |
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*{{bibitem|author=Mikhail Khovanov|title=Triply-graded link homology and Hochschild homology of Soergel bimodules|arXiv=math.GT/0510265}} |
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*{{arXiv|math/0510382}} |
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*{{arXiv|math.CO/0412264}} |
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*http://front.math.ucdavis.edu/math.QA/0304375 |
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*{{arXiv|math.CO/0511557}} |
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*{{arXiv|math.GT/0511532}} |
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*{{arXiv|math.QA/0511529}} |
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*{{arXiv|math.GT/0508064}} |
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==Todo== |
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Scott is planning on one day writing some scripts to automate the boring work in making this page work. Ideally, anyone should be able to just enter minimal information for an article (e.g., just math.CO/0412264, or even just a title!) on a line, and have a robot come through later and fill things in. |
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Such a robot should be able to construct the appropriate link to the arXiv (easy -- use the arXiv template), fill in or correct the author and title, and possibly even send a [[Wikipedia:TrackBack|TrackBack]] ping to the [http://arxiv.org/help/trackback/ arXiv]. |
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Latest revision as of 16:11, 17 September 2006
This is the very beginning of a bibliography for work on Khovanov homology. Anyone should feel free to update, modify, or comment, as they wish.
- Dror Bar-Natan, On Khovanov's categorification of the Jones polynomial, local page, arxiv:math.GT/0201043.
- D. Bar-Natan, Khovanov's Homology for Tangles and Cobordisms, Geometry and Topology 9-33 (2005) 1443-1499, arXiv:math.GT/0410495.
- D. Bar-Natan, I've Computed Kh(T(9,5)) and I'm Happy, talk given at Knots in Washington XX, George Washington University, February 2005.
- M. Khovanov, A categorification of the Jones polynomial, arXiv:math.QA/9908171.
- M. Khovanov, An invariant of tangle cobordisms, arXiv:math.QA/0207264.
- Paul Turner, Calculating Bar-Natan's characteristic two Khovanov homology, arXiv:math.GT/0411225.
- Jozef H. Przytycki, When the theories meet: Khovanov homology as Hochschild homology of links, arXiv:math.GT/0509334.
- E. S. Lee, An endomorphism of the Khovanov invariant, Advances in Mathematics 197 (2005) 554-586, arXiv:math.GT/0210213.
- J. Rasmussen, Khovanov homology and the slice genus, arXiv:math.GT/0402131.
- P. Seidel and I. Smith, A link invariant from the symplectic geometry of nilpotent slices, arXiv:math.SG/0405089.
- C. Manolescu, Nilpotent slices, Hilbert schemes, and the Jones polynomial, arXiv:math.SG/0411015.
- O. Plamenevskaya, Transverse knots and Khovanov homology, arXiv:math.GT/0412184.
- L. Ng, A Legendrian Thurston-Bennequin bound from Khovanov homology, Algebraic and Geometric Topology 5-66 (2005) 1637-1653, arXiv:math.GT/0508649.
- arXiv:math.QA/0409414
- http://arxiv.org/abs/math/0509692
- Mikhail Khovanov Triply-graded link homology and Hochschild homology of Soergel bimodules, arXiv:math.GT/0510265
- arXiv:math/0510382
- arXiv:math.CO/0412264
- http://front.math.ucdavis.edu/math.QA/0304375
- arXiv:math.CO/0511557
- arXiv:math.GT/0511532
- arXiv:math.QA/0511529
- arXiv:math.GT/0508064
Todo
Scott is planning on one day writing some scripts to automate the boring work in making this page work. Ideally, anyone should be able to just enter minimal information for an article (e.g., just math.CO/0412264, or even just a title!) on a line, and have a robot come through later and fill things in.
Such a robot should be able to construct the appropriate link to the arXiv (easy -- use the arXiv template), fill in or correct the author and title, and possibly even send a TrackBack ping to the arXiv.
