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1
L Abrams , Two-dimensional
topological quantum field theories and Frobenius
algebras , J. Knot Theory Ramifications 5 (1996) 569
MR1414088
2
S Ariki , On the
decomposition numbers of the Hecke algebra of $G(m,1,n)$ ,
J. Math. Kyoto Univ. 36 (1996) 789 MR1443748
3
V I Arnol’d ,
S M Guseĭn-Zade , A N Varchenko ,
Singularities of differentiable maps Vol I , Monographs
in Mathematics 82, Birkhäuser (1985) MR777682
4
M Atiyah , Topological
quantum field theories , Inst. Hautes Études Sci. Publ.
Math. (1988) MR1001453
5
J C Baez , J
Dolan , Higher-dimensional algebra
and topological quantum field theory , J. Math. Phys. 36
(1995) 6073 MR1355899
6
B Bakalov , A
Kirillov Jr. , Lectures on tensor categories and modular
functors , University Lecture Series 21, American
Mathematical Society (2001) MR1797619
7
A J Berkson ,
The $u$–algebra
of a restricted Lie algebra is Frobenius , Proc. Amer.
Math. Soc. 15 (1964) 14 MR0158910
8
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. $($N.S.$)$ 5 (1999) 199
MR1714141
9
J N Bernstein ,
S I Gel’fand , Tensor
products of finite- and infinite-dimensional representations of
semisimple Lie algebras , Compositio Math. 41 (1980) 245
MR581584
10
A Bondal , D
Orlov , Semiorthogonal decompositions for algebraic
varieties , arXiv:alg-geom/9506012
11
P J Braam ,
S K Donaldson , Floer's work on instanton
homology, knots and surgery , from: "The Floer memorial
volume", Progr. Math. 133, Birkhäuser (1995) 195 MR1362829
12
T Braden ,
Perverse sheaves on Grassmannians , Canad. J. Math. 54
(2002) 493 MR1900761
13
T Braden , M
Khovanov , in preparation ,
14
T Bridgeland ,
Equivalences of
triangulated categories and Fourier–Mukai transforms ,
Bull. London Math. Soc. 31 (1999) 25 MR1651025
15
J S Carter ,
D E Flath , M Saito , The classical and
quantum 6$j$–symbols , Mathematical Notes 43, Princeton
University Press (1995) MR1366832
16
J S Carter ,
L H Kauffman , M Saito , Diagrammatics,
singularities, and their algebraic interpretations , Mat.
Contemp. 13 (1997) 21 MR1630632
17
R W Carter ,
Representation
theory of the 0–Hecke algebra , J. Algebra 104 (1986) 89
MR865891
18
L Crane , I B
Frenkel , Four-dimensional
topological quantum field theory, Hopf categories, and the
canonical bases , J. Math. Phys. 35 (1994) 5136 MR1295461
19
R Dijkgraaf , E
Witten , Topological
gauge theories and group cohomology , Comm. Math. Phys.
129 (1990) 393 MR1048699
20
H Strade , R
Farnsteiner , Modular Lie algebras and their
representations , Monographs and Textbooks in Pure and
Applied Mathematics 116, Marcel Dekker (1988) MR929682
21
P Di Francesco , O
Golinelli , E Guitter , Meanders and the
Temperley–Lieb algebra , Comm. Math. Phys. 186 (1997) 1
MR1462755
22
I B Frenkel , N
Jing , W Wang , Vertex
representations via finite groups and the McKay
correspondence , Internat. Math. Res. Notices (2000) 195
MR1747618
23
I B Frenkel ,
M G Khovanov , Canonical
bases in tensor products and graphical calculus for
$U_q(\mathfrak{sl}_2)$ , Duke Math. J. 87 (1997) 409
MR1446615
24
K Fukaya , Floer
homology for 3–manifolds with boundary , from: "Topology,
geometry and field theory", World Sci. Publ., River Edge, NJ
(1994) 1 MR1312167
25
K Fukaya , P
Seidel , Floer homology, $A_\infty$–categories and
topological field theory , from: "Geometry and physics
(Aarhus, 1995)", Lecture Notes in Pure and Appl. Math. 184,
Dekker (1997) 9 MR1423154
26
D Happel ,
Triangulated categories in the representation theory of
finite-dimensional algebras , London Mathematical Society
Lecture Note Series 119, Cambridge University Press (1988)
MR935124
27
R S Huerfano ,
M Khovanov , A category for the
adjoint representation , J. Algebra 246 (2001) 514
MR1872113
28
B Iversen ,
Cohomology of sheaves , Universitext, Springer (1986)
MR842190
29
J C Jantzen ,
Representations of algebraic groups , Pure and Applied
Mathematics 131, Academic Press (1987) MR899071
30
V F R Jones ,
A
polynomial invariant for knots via von Neumann
algebras , Bull. Amer. Math. Soc. $($N.S.$)$ 12 (1985)
103 MR766964
31
L Kadison , New
examples of Frobenius extensions , University Lecture Series
14, American Mathematical Society (1999) MR1690111
32
M Kapranov , E
Vasserot , Kleinian
singularities, derived categories and Hall algebras ,
Math. Ann. 316 (2000) 565 MR1752785
33
M Kashiwara , P
Schapira , Sheaves on manifolds , Grundlehren der
Mathematischen Wissenschaften 292, Springer (1990) MR1074006
34
L H Kauffman ,
State models
and the Jones polynomial , Topology 26 (1987) 395
MR899057
35
L H Kauffman ,
S L Lins , Temperley–Lieb recoupling theory and
invariants of 3–manifolds , Annals of Mathematics Studies
134, Princeton University Press (1994) MR1280463
36
M Khovanov ,
Nilcoxeter
algebras categorify the Weyl algebra , Comm. Algebra 29
(2001) 5033 MR1856929
37
M Khovanov ,
Graphical calculus, canonical bases and Kazhdan–Lusztig
theory , PhD thesis, Yale University (1997)
38
M Khovanov ,
A
categorification of the Jones polynomial , Duke Math. J.
101 (2000) 359 MR1740682
39
M Khovanov , P
Seidel , Quivers,
Floer cohomology, and braid group actions , J. Amer.
Math. Soc. 15 (2002) 203 MR1862802
40
A N Kirillov ,
N Y Reshetikhin , Representations of the algebra
${U}_q(\mathrm{sl}(2)),q$–orthogonal polynomials and invariants
of links , from: "Infinite-dimensional Lie algebras and
groups (Luminy–Marseille, 1988)", Adv. Ser. Math. Phys. 7,
World Sci. Publ., Teaneck, NJ (1989) 285 MR1026957
41
M Kontsevich ,
Homological algebra of mirror symmetry , from:
"Proceedings of the International Congress of Mathematicians,
Vol. 1, 2 (Zürich, 1994)", Birkhäuser (1995) 120 MR1403918
42
G Kuperberg ,
Spiders
for rank 2 Lie algebras , Comm. Math. Phys. 180 (1996)
109 MR1403861
43
T Y Lam ,
Lectures on modules and rings , Graduate Texts in
Mathematics 189, Springer (1999) MR1653294
44
M Mackaay , Finite groups,
spherical 2–categories, and 4–manifold invariants , Adv.
Math. 153 (2000) 353 MR1770934
45
G Malle , A
Mathas , Symmetric cyclotomic
Hecke algebras , J. Algebra 205 (1998) 275 MR1631350
46
H Nakajima ,
Instantons
on ALE spaces, quiver varieties, and Kac–Moody
algebras , Duke Math. J. 76 (1994) 365 MR1302318
47
A Polishchuk ,
Gluing of
perverse sheaves on the basic affine space , Selecta
Math. $($N.S.$)$ 7 (2001) 83 MR1856554
48
N Reshetikhin ,
V G Turaev , Invariants of
3–manifolds via link polynomials and quantum groups ,
Invent. Math. 103 (1991) 547 MR1091619
49
J Rickard ,
Triangulated categories in the modular representation theory
of finite groups , from: "Derived equivalences for group
rings", Lecture Notes in Math. 1685, Springer (1998) 177
MR1649845
50
R Rouquier , Action
du groupe de tresses sur la catégorie dériveé de la variété de
drapeaux , preprint
51
R Rouquier ,
Travaux de recherches. Représentations et catégories
dérivées , (1998)
52
R Rouquier , A
Zimmermann , Picard groups for
derived module categories , Proc. London Math. Soc.
$(3)$ 87 (2003) 197 MR1978574
53
P Seidel , R
Thomas , Braid group
actions on derived categories of coherent sheaves , Duke
Math. J. 108 (2001) 37 MR1831820
54
M E Sweedler ,
Hopf algebras , Mathematics Lecture Note Series, W. A.
Benjamin, New York (1969) MR0252485
55
V G Turaev ,
Quantum invariants of knots and 3–manifolds , de Gruyter
Studies in Mathematics 18, Walter de Gruyter & Co. (1994)
MR1292673
56
W Wang , Algebraic
structures behind Hilbert schemes and wreath products ,
from: "Recent developments in infinite-dimensional Lie algebras
and conformal field theory (Charlottesville, VA, 2000)",
Contemp. Math. 297, Amer. Math. Soc. (2002) 271 MR1919822
57
E Witten , Quantum
field theory and the Jones polynomial , Comm. Math.
Phys. 121 (1989) 351 MR990772