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Qingtao Chen

Assistant Professor of Mathematics

    20082018
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    Research Output 2008 2018

    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
    2015

    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
    2014

    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
    2012

    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
    2011

    Generalized witten genus and vanishing theorems

    Chen, Q., Han, F. & Zhang, W., Jan 1 2011, In : Journal of Differential Geometry. 88, 1, p. 1-39 39 p.

    Research output: Contribution to journalArticle

    Open Access
    Vanishing Theorems
    Genus
    Complex Projective Space
    Fourier Expansion
    Complete Intersection
    2010

    Witten genus and vanishing results on complete intersections

    Chen, Q., Han, F. & Zhang, W., Mar 1 2010, In : Comptes Rendus Mathematique. 348, 5-6, p. 295-298 4 p.

    Research output: Contribution to journalArticle

    Complete Intersection
    Genus
    Strings
    Characteristic numbers
    Complex Projective Space
    2009

    Elliptic genera, transgression and loop space Chern-Simons forms

    Chen, Q. & Han, F., Jan 1 2009, In : Communications in Analysis and Geometry. 17, 1, p. 73-106 34 p.

    Research output: Contribution to journalArticle

    Open Access
    Elliptic Genus
    Loop Space
    Free Loop Space
    Modularity
    Vector Bundle

    Modular invariance and twisted cancellations of characteristic numbers

    Chen, Q. & Han, F., Mar 1 2009, In : Transactions of the American Mathematical Society. 361, 3, p. 1463-1493 31 p.

    Research output: Contribution to journalArticle

    Characteristic numbers
    Invariance
    Cancellation
    Congruence
    Elliptic Genus
    2008

    Witten genus and string complete intersections

    Chen, Q. & Han, F., Feb 1 2008, In : Pacific Journal of Mathematics. 234, 2, p. 249-259 11 p.

    Research output: Contribution to journalArticle

    Open Access
    Complete Intersection
    Genus
    Strings
    Complex Projective Space
    Generalise