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Qingtao Chen

Assistant Professor of Mathematics

20082018
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Fingerprint Weighted list of dominant concepts in the researcher's publications (titles and abstracts).

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Genus Mathematics
Complete Intersection Mathematics
Invariant Mathematics
Orthogonal Group Mathematics
Quantum Groups Mathematics
Strings Mathematics
Elliptic Genus Mathematics
Characteristic numbers Mathematics

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Research Output 2008 2018

Volume conjectures for the reshetikhin–turaev and the turaev–viro invariants

Chen, Q. & Yang, T., Jan 1 2018, In : Quantum Topology. 9, 3, p. 419-460 42 p.

Research output: Contribution to journalArticle

Invariant
Roots of Unity
Hyperbolic 3-manifold
Chern-Simons Theories
Polynomial Growth

Mod 3 congruence and twisted signature of 24 dimensional string manifolds

Chen, Q. & Han, F., Apr 1 2015, In : Transactions of the American Mathematical Society. 367, 4, p. 2959-2977 19 p.

Research output: Contribution to journalArticle

Modular Forms
Modularity
Congruence
Genus
Signature

New structure for orthogonal quantum group invariants

Chen, Q. & Liu, K., Jan 1 2015, In : Proceedings of the American Mathematical Society. 143, 8, p. 3645-3657 13 p.

Research output: Contribution to journalArticle

Infinite product
Orthogonal Group
Quantum Groups
Product formula
Invariant

Recursion formulas for HOMFLY and Kauffman invariants

Chen, Q. & Reshetikhin, N., Jan 1 2014, In : Journal of Knot Theory and its Ramifications. 23, 5, 1450024.

Research output: Contribution to journalArticle

Recursion Formula
Kauffman Polynomial
HOMFLY Polynomial
Quantized Enveloping Algebra
Universal Enveloping Algebra

Orthogonal quantum group invariants of links

Chen, L. & Chen, Q., Jan 1 2012, In : Pacific Journal of Mathematics. 257, 2, p. 267-318 52 p.

Research output: Contribution to journalArticle

Open Access
Orthogonal Group
Quantum Groups
Invariant
Kauffman Polynomial
Partition Function