Heat Kernel and Moduli Space
نویسندگان
چکیده
منابع مشابه
Heat Kernel and Moduli Spaces
In this paper we describe a proof of the formulas of Witten [W1], [W2] about the symplectic volumes and the intersection numbers of the moduli spaces of principal bundles on a compact Riemann surface. It is known that these formulas give all the information needed for the Verlinde formula. The main idea of the proof is to use the heat kernel on compact Lie groups, in a way very similar to the h...
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1. Introduction. In this paper we continue our study on the topology of the moduli spaces of flat bundles on a Riemann surface by using the heat kernels on compact Lie groups. As pointed out in [Liu], our method is very similar to the heat kernel proof of the Atiyah-Bott fixed point formula and the Atiyah-Singer index formula. In our case the local density is given by the Reidemeister torsion o...
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Many problems in applied mathematics, physics, and engineering require the solution of the heat equation in unbounded domains. Integral equation methods are particularly appropriate in this setting for several reasons: they are unconditionally stable, they are insensitive to the complexity of the geometry, and they do not require the artificial truncation of the computational domain as do finit...
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Suppose that d ≥ 1 and α ∈ (0, 2). In this paper, we establish by using probabilistic methods sharp two-sided pointwise estimates for the Dirichlet heat kernels of {∆+ a∆; a ∈ (0, 1]} on half-space-like C domains for all time t > 0. The large time estimates for half-spacelike domains are very different from those for bounded domains. Our estimates are uniform in a ∈ (0, 1] in the sense that the...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 1996
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.1996.v3.n6.a3