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New structure for orthogonal quantum group invariants


Authors: Qingtao Chen and Kefeng Liu
Journal: Proc. Amer. Math. Soc. 143 (2015), 3645-3657
MSC (2010): Primary 57M27; Secondary 81R50
DOI: https://doi.org/10.1090/proc/12548
Published electronically: April 28, 2015
MathSciNet review: 3348806
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Abstract: Based on the orthogonal Labastida-Mariño-Ooguri-Vafa conjecture made by L. Chen and Q. Chen (2012), we derive an infinite product formula for Chern-Simons partition functions, which generalizes Liu and Peng's recent results to the orthogonal case. Symmetry property of this new infinite product structure is also discussed.


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Additional Information

Qingtao Chen
Affiliation: Mathematics Section, International Center for Theoretical Physics, Strada Costiera, 11, Trieste, I-34151, Italy
Email: qchen1@ictp.it

Kefeng Liu
Affiliation: Center of Mathematical Sciences, Zhejiang University, Box 310027, Hangzhou, People’s Republic of China — and — Department of Mathematics, University of California at Los Angeles, Box 951555, Los Angeles, California 90095-1555
Email: liu@math.ucla.edu

DOI: https://doi.org/10.1090/proc/12548
Received by editor(s): October 12, 2013
Published electronically: April 28, 2015
Communicated by: Lei Ni
Article copyright: © Copyright 2015 American Mathematical Society

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