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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