Algebraic & Geometric Topology Volume 10, issue 2 (2010)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Other MSP Journals

On the universal $sl_2$ 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 MR1288995
2	M Eisermann, The Jones polynomial of ribbon links, Geom. Topol. 13 (2009) 623 MR2469525
3	K Habiro, Bottom tangles and universal invariants, Algebr. Geom. Topol. 6 (2006) 1113 MR2253443
4	K Habiro, A unified Witten–Reshetikhin–Turaev invariant for integral homology spheres, Invent. Math. 171 (2008) 1 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 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 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 MR2166517
10	Y Mizuma, An estimate of the ribbon number by the Jones polynomial, Osaka J. Math. 43 (2006) 365 MR2262340
11	T Ohtsuki, Colored ribbon Hopf algebras and universal invariants of framed links, J. Knot Theory Ramifications 2 (1993) 211 MR1227011
12	N Y Reshetikhin, V G Turaev, Ribbon graphs and their invariants derived from quantum groups, Comm. Math. Phys. 127 (1990) 1 MR1036112
13	S Suzuki, On the universal $sl_2$ invariant of ribbon bottom tangles, dissertation, Kyoto University (2009)