27 research outputs found
Asymptotic Expansion of the One-Loop Approximation of the Chern-Simons Integral in an Abstract Wiener Space Setting
In an abstract Wiener space setting, we constract a rigorous mathematical
model of the one-loop approximation of the perturbative Chern-Simons integral,
and derive its explicit asymptotic expansion for stochastic Wilson lines.Comment: 39 page
Homogeneous Manifolds of Negative Curvature and Harmonic Maps (Hyperbolic Spaces and Related Topics)
On Holomorphic Equivalence of Bounded Domains in Complete Kahler Manifolds of Negative Curvature (Differential Geometry of Submanifolds)
On the existence of global solutions of the nonlinear parabolic equation of Eells-Sampson over product manifolds
Variational problems in geometry
This volume is an outgrowth of the lectures delivered at Tohoku University and at the Summer Graduate Program held at the Institute for Mathematics and its Applications at the University of Minnesota. It would make a suitable textbook for advanced undergraduates and graduate students