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【期刊论文】Elliptic genus and vertex operator algebras
刘克峰, Chongying DONG, Kefeng LIU, Xiaonan MA
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-1年11月30日
We construct bundles of modules of vertex operator algebras, and prove the rigidity and vanishing theorem for the Dirac operator on loop space twisted by such bundles. This result generalizes many previous results.
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21浏览
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【期刊论文】CANONICAL METRICS ON THE MODULI SPACE OF RIEMANN SURFACES Ⅱ
刘克峰, KEFENG LIU, XIAOFENG SUN, AND SHING-TUNG YAU
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-1年11月30日
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36浏览
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【期刊论文】CANONICAL METRICS ON THE MODULI SPACE OF RIEMANN SURFACES Ⅰ
刘克峰, KEFENG LIU, XIAOFENG SUN, AND SHING-TUNG YAU
,-0001,():
-1年11月30日
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9浏览
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【期刊论文】Adiabatic Limits and Foliations
刘克峰, Kefeng Liu and Weiping Zhang
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-1年11月30日
We use adiabatic limits to study foliated manifolds. The Bott connection naturally shows up as the adiabatic limit of Levi-Civita connections. As an application, we then construct certain natural elliptic operators associated to the foliation and present a direct geometric proof of a vanshing theorem of Connes[Co], which extends the Lichnerowicz vanishing theorem [L] to foliated manifolds with spin leaves, for what we call almost Riemannian foliations. Several new vanishing theorems are also proved by using our method.
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【期刊论文】A MATHEMATICAL THEORY OF THE TOPOLOGICAL VERTEX
刘克峰, JUN LI, CHIU-CHU MELISSA LIU, KEFENG LIU, AND JIAN ZHOU
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-1年11月30日
We have developed a mathematical theory of the topological vertex-a theory that was originally proposed by M. Aganagic, A. Klemm, M. Marino, and C. Vafa on effectively computing Gromov-Witten invariants of smooth toric Calabi-Yau threefolds derived from duality between open string theory of smooth Calabi-Yau threefolds and Chern-Simons theory on three manifolds.
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16浏览
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