Volume 15, issue 5 (2015)

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An exceptional collection for Khovanov homology

Benjamin Cooper and Matt Hogancamp

Algebraic & Geometric Topology 15 (2015) 2659–2706
Bibliography
1 B Bakalov, A Kirillov Jr., Lectures on tensor categories and modular functors, University Lecture Series 21, Amer. Math. Soc. (2001) MR1797619
2 D Bar-Natan, Khovanov's homology for tangles and cobordisms, Geom. Topol. 9 (2005) 1443 MR2174270
3 J Bernstein, I Frenkel, M Khovanov, A categorification of the Temperley–Lieb algebra and Schur quotients of $U(\mathfrak{sl}_2)$ via projective and Zuckerman functors, Selecta Math. 5 (1999) 199 MR1714141
4 A I Bondal, M M Kapranov, Framed triangulated categories, Mat. Sb. 181 (1990) 669 MR1055981
5 S Cautis, Clasp technology to knot homology via the affine Grassmannian, arXiv:1207.2074
6 S Cautis, J Kamnitzer, Knot homology via derived categories of coherent sheaves, I: the $\mathfrak{{sl}}(2)$–case, Duke Math. J. 142 (2008) 511 MR2411561
7 D Clark, S Morrison, K Walker, Fixing the functoriality of Khovanov homology, Geom. Topol. 13 (2009) 1499 MR2496052
8 B Cooper, V Krushkal, Categorification of the Jones–Wenzl projectors, Quantum Topol. 3 (2012) 139 MR2901969
9 B Cooper, V Krushkal, Handle slides and localizations of categories, Int. Math. Res. Not. 2013 (2013) 2179 MR3061937
10 P Cvitanović, Group theory: Birdtracks, Lie's, and exceptional groups, Princeton Univ. Press (2008) MR2418111
11 I Frenkel, C Stroppel, J Sussan, Categorifying fractional Euler characteristics, Jones–Wenzl projectors and $3j$–symbols, Quantum Topol. 3 (2012) 181 MR2901970
12 E Gorsky, A Oblomkov, J Rasmussen, V Shende, Torus knots and the rational DAHA, Duke Math. J. 163 (2014) 2709 MR3273582
13 S Gukov, M Stošić, Homological algebra of knots and BPS states, from: "Proceedings of the Freedman Fest" (editors R Kirby, V Krushkal, Z Wang), Geom. Topol. Monogr. 18 (2012) 309
14 M Hogancamp, Morphisms between categorified spin networks, arXiv:1209.2732
15 L H Kauffman, S L Lins, Temperley–Lieb recoupling theory and invariants of $3$–manifolds, Ann. Math. Studies 134, Princeton Univ. Press (1994) MR1280463
16 M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682
17 M Khovanov, A functor-valued invariant of tangles, Algebr. Geom. Topol. 2 (2002) 665 MR1928174
18 M Khovanov, Link homology and Frobenius extensions, Fund. Math. 190 (2006) 179 MR2232858
19 M Khovanov, L Rozansky, Matrix factorizations and link homology, Fund. Math. 199 (2008) 1 MR2391017
20 A Neeman, Triangulated categories, Ann. Math. Studies 148, Princeton Univ. Press (2001) MR1812507
21 N R O’Brian, D Toledo, Y L L Tong, The trace map and characteristic classes for coherent sheaves, Amer. J. Math. 103 (1981) 225 MR610475
22 D Orlov, Derived categories of coherent sheaves and triangulated categories of singularities, from: "Algebra, arithmetic, and geometry: in honor of Yu I Manin, Vol. II" (editors Y Tschinkel, Y Zarhin), Progr. Math. 270, Birkhäuser (2009) 503 MR2641200
23 L Rozansky, A categorification of the stable $\mathrm{SU}(2)$ Witten–Reshitikhin–Turaev invariant of links in $S^{2}\times S^{1}$, arXiv:1011.1958
24 L Rozansky, An infinite torus braid yields a categorified Jones–Wenzl projector, Fund. Math. 225 (2014) 305 MR3205575
25 L Rozansky, Khovanov homology of a unicolored B–adequate link has a tail, Quantum Topol. 5 (2014) 541 MR3317343
26 P Seidel, I Smith, A link invariant from the symplectic geometry of nilpotent slices, Duke Math. J. 134 (2006) 453 MR2254624
27 C Stroppel, Parabolic category $\mathscr O$, perverse sheaves on Grassmannians, Springer fibres and Khovanov homology, Compos. Math. 145 (2009) 954 MR2521250
28 B Webster, Knot invariants and higher representation theory, II: The categorification of quantum knot invariants, (2013) arXiv:1005.4559v7
29 H Wenzl, On sequences of projections, C. R. Math. Rep. Acad. Sci. Canada 9 (1987) 5 MR873400
30 H Wu, A colored $\mathfrak{sl}(N)$ homology for links in $S^3$, Dissertationes Math. $($Rozprawy Mat.$)$ 499 (2014) 1 MR3234803