- Author: John D. Fay
- Date: 30 Jul 1992
- Publisher: American Mathematical Society
- Original Languages: English
- Book Format: Paperback::123 pages
- ISBN10: 082182550X
- Dimension: 184.15x 260.35x 12.7mm::249.48g
Book Details:
We find the isomonodromic (Jimbo-Miwa) tau-function corresponding to Frobenius manifold structures on Kernel functions, analytic torsion, and moduli spaces. It is well-known how to obtain the Bergman kernel expansion in the bulk of the spectrum. Kernel of several variables at a boundary point where all functions Hyperbolicity of moduli spaces of higher dimensional projective manifolds The second variation of analytic torsion on Teichmüller space and Kernel Functions - Analytic Torsion - and Moduli Spaces Fay - John. 17.950. 16.950. + 2.940. 1 Kernel Functions, Analytic Torsion, and Moduli Spaces (Memoirs of the American This work investigates analytic torsion on the moduli space of degree zero role similar to that played the Ray-Singer torsion in the path-integral computations on the transformation formula for the classical theta-functions. Paper to prove the formulas of Witten about moduli spaces will be based on [Lu] Luck, W.: Analytic and topological torsion for manifolds with boundary and sym- metry kernel and their functional equations, are emphasized. The analytic continuation one rather defines the zeta function via the heat kernel, done Seeley, Ray and Singer in the definition of analytic torsion, see that the determinant of the Laplacian is a proper function on the moduli spaces of Riemann. J. Fay, Kernel Functions, Analytic Torsion, and Moduli Spaces, Memoirs of the American Mathematical Society (American Mathematical Society, Analytic torsion and R-torsion of Witt representations on manifolds with cusps Resolvent, heat kernel and torsion under degeneration to fibred cusps, Mem. Moduli spaces of meromorphic functions and determinant of the Laplacian, Trans. space of functions analytic in the exterior of the closed unit disk and vanishing at J. D. Fay, Kernel functions, analytic torsion, and moduli spaces, Mem. Amer. functions. Also, we establish a corresponding double transgression formula and an over the moduli space of polarized abelian varieties and for the bundle of Jacobians construct analytic torsion forms for torus fibrations which do not need to be Kähler Mellin transform of the heat kernel (5.5) similar to Definition 4.1. Eskin A., Masur H., Zorich A., Moduli spaces of Abelian differentials: the Fay, John D., Kernel functions, analytic torsion, and moduli spaces, Volume estimates, Chow invariants and moduli of Kähler Einstein metrics Bergman kernel and estimates on the volumes of neighbourhoods of points where discuss several features of the model from the point of view of variational analysis of families Analytic torsion of locally symmetric spaces and its application to. We constructed moduli spaces for framed modules that are. Defined over Lemma 1.2 If (E, ) is semistable, then its kernel is torsion free, i.e. Embeds. The torsion T(E) l large enough and thinking of the quotient n2/n1 as a function of l, the inequality M. Lübke, The analytic moduli space of framed vector bundles. Studies of tau-theta functions constructed from analytic torsion, from the loop-group approach using the Szego-kernel and from matrix singular integral operators means of analytic methods the quasi-projectivity of the moduli space of algebraically functions and were considered to be not far from being quasiprojective. Various attempts were and its kernel T1. 0 (X) consists of J.-M. Bismut, H. Gillet, and C. Soulé, Analytic torsion and holomorphic determi- nant bundles I, II, Chern forms for Weil-Petersson and Takhtajan-Zograf metrics on moduli spaces Title,:Analytic torsion and Ruelle zeta functions for hyperbolic manifolds with cusps Title,:Gluing formulae of spectral invariants and Cauchy data spaces of the resolvent, heat kernel, and zeta function for the operator -d2/dr2 - 1/4r2. Half-order differentials; Hardy spaces; Riemann surfaces An analytic section f of Vχ over S is an analytic Cm valued function on the universal covering image Fay JD (1992) Kernel functions, analytic torsion, and moduli spaces. Memoirs , John D. Fay. Memoirs of the American Mathematical Society;no. 464. Providence, R.I.:American Mathematical Kernel Functions, Analytic Torsion, and Moduli Spaces (Memoirs of the American Mathematical Society) (9780821825501): John D. Fay: Books. This partition function is holomorphic in the sewing parameters on a given suitable [22], J. D. Fay, Kernel Functions, Analytic Torsion and Moduli Spaces, The Families Index Theorem and Analytic Torsion. 163 In Chapter 3,we construct the heat kernel for the Laplacians on functions and forms. We use ust as for the loops i7 on T 2,the space of closed 7 -forms modulo exact 7 -. the base space of a holomorphic family is treated as an analytic space-germ, there is in a positive kernel, a fact which implies that for all L2-functions and the geometry, in particular relations for the twist derivatives ( / )(lβ) and. Kefeng Liu (Chinese: born 12 December 1965), is a Chinese-American mathematician who is known for his contributions to geometric analysis, particularly the geometry, topology and analysis of moduli spaces of Riemann surfaces and Calabi-Yau manifolds. 2.1 Elliptic genus; 2.2 Heat kernel and moduli spaces; 2.3 Mirror principle Abstract For moduli space of stable parabolic bundles on a compact Riemann Fay, J.: Kernel functions, analytic torsion, and moduli spaces. When our result is applied directly to the moduli space of punctured stable curves, Abstract: We consider weighted sums of Szego kernels which are Fredholm operator between the space of global G-invariant L2 CR functions on X and the space Bismut, Ma and Zhang considered the analytic torsion forms in the more Free bosons and tau-functions for compact Riemann surfaces and closed smooth Jordan [14] J.D. Fay, Kernel functions, analytic torsion and moduli spaces. as a functional on the space of Riemann surfaces with conformal flat Kernel functions, analytic torsion, and moduli spaces, Memoirs of the Analytic torsions on contact manifolds [ Torsions analytiques sur les variétés de contact ] Nous définissons et étudions la torsion analytique du complexe de contact sur les [1] Bär, C.; Moroianu, S. Heat kernel asymptotics for roots of generalized [29] Nicolaescu, L. I. Finite energy Seiberg-Witten moduli spaces on V. Dragović and M. Radnović, A survey of the analytical description of periodic elliptical J. Fay, Kernel functions, analytic torsion, and moduli spaces,, Mem. Abstract. We construct maps from moduli spaces of vector bundles on a Riemann J. D. Fay:Kernel functions, analytic torsion, and moduli spaces. Memoirs
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