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On the universal sl2 invariant of ribbon bottom tangles

Sakie Suzuki

Algebraic & Geometric Topology 10 (2010) 1027–1061

DOI: 10.2140/agt.2010.10.1027

Bibliography
1 C De Concini, C Procesi, Quantum groups, from: "D–modules, representation theory, and quantum groups (Venice, 1992)", Lecture Notes in Math. 1565, Springer (1993) 31–140 MR1288995
2 M Eisermann, The Jones polynomial of ribbon links, Geom. Topol. 13 (2009) 623–660 MR2469525
3 K Habiro, Bottom tangles and universal invariants, Algebr. Geom. Topol. 6 (2006) 1113–1214 MR2253443
4 K Habiro, A unified Witten–Reshetikhin–Turaev invariant for integral homology spheres, Invent. Math. 171 (2008) 1–81 MR2358055
5 K Habiro, T T Q Le, in preparation
6 R J Lawrence, A universal link invariant using quantum groups, from: "Differential geometric methods in theoretical physics (Chester, 1988)", World Sci. Publ., Teaneck, NJ (1989) 55–63 MR1124415
7 R J Lawrence, A universal link invariant, from: "The interface of mathematics and particle physics (Oxford, 1988)", Inst. Math. Appl. Conf. Ser. New Ser. 24, Oxford Univ. Press (1990) 151–156 MR1103138
8 G Lusztig, Introduction to quantum groups, Progress in Mathematics 110, Birkhäuser (1993) MR1227098
9 Y Mizuma, Ribbon knots of 1–fusion, the Jones polynomial, and the Casson–Walker invariant, Rev. Mat. Complut. 18 (2005) 387–425 MR2166517 With an appendix by Tsuyoshi Sakai
10 Y Mizuma, An estimate of the ribbon number by the Jones polynomial, Osaka J. Math. 43 (2006) 365–369 MR2262340
11 T Ohtsuki, Colored ribbon Hopf algebras and universal invariants of framed links, J. Knot Theory Ramifications 2 (1993) 211–232 MR1227011
12 N Y Reshetikhin, V G Turaev, Ribbon graphs and their invariants derived from quantum groups, Comm. Math. Phys. 127 (1990) 1–26 MR1036112
13 S Suzuki, On the universal sl2 invariant of ribbon bottom tangles, dissertation, Kyoto University (2009)