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Pan Peng
(彭磐)
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Contact Information
Department of Mathematics
617 N. Santa
Rita Ave
Tucson, AZ, 85721
Office: Math 314
Phone: (520) 621-6855
E-mail:
ppeng at math
arizona edu |
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Research Interests |
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My research interest lies in mathematical physics and its interplay with different
areas of mathematics, such as Algebraic Geometry, Differential Geometry, Topology,
and Quantum Algebra.
My Curriculum Vitae (PDF version)
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Publications and Papers |
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A simple proof of Gopakumar-Vafa conjecture for local toric
Calabi-Yau manifolds
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Commun. Math. Phys.
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Integrality structure in the Gromov-Witten theory,
submitted.
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(Joint with Kefeng Liu)
On a proof of the Labastida-Marino-Ooguri-Vafa conjecture,
to appear, Math. Res. Lett.
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String duality and integrality structure in
Calabi-Yau geometry,
Proceedings of ICCM 2007.
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(Joint
with Kefeng Liu)
Proof of the Labastida-Marino-Ooguri-Vafa conjecture,
submitted to Inventiones.
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Towards the large N duality between the Chern-Simons gauge theory
and the topological string theory,
Proceedings of the International conference on topology and
physics --- In memory of Xiao-Song Lin.
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(Joint with Kefeng Liu),
Framed knot and integrality structure in Chern-Simons U(N)
gauge theory,
preprint.
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Uniqueness of the cut-and-join system and
duality between Chern-Simons gauge theory
and open topological string theory,
preprint.
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(Joint with Kefeng Liu),
Chern-Simons vertex and Gromov-Witten vertex,
in preparation.
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(Joint with Y. Li, K. Liu, S.-T. Yau),
On a conjecture of Bouchard-Marino In Hurwitz theory,
in preparation. |
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(Joint
with X. Sun and S.-T. Yau), in preparation. |
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(Joint
with Kefeng Liu), Level-rank duality in
the SU(N) Chern-Simons gauge theory and the
colored Jones polynomial, in preparation. |
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