Preprints

Heat Equation Derivative Formulas for Vector Bundles 
Absolute Continuity of Heat Kernel Measure with Pinned Wiener Measure on Loop groups
(Joint with Vikram Srimurthy) The Annals of probability, 2001, Vol 29, No.
2, 691273. 
Equivalence of heat kernel measure and pinned Wiener measure on loop
groups (Joint with Shigeki Aida) C. R. Acad. Sci.
Paris S\'er. I Math. {\bf 331} (2000), no.~9, 709712  
The energy representation has no nonzero fixed vectors  
Logarithmic
Sobolev Inequalities for Pinned Loop Groups  
The
Lie Bracket of Adapted Vector Fields on Wiener Spaces  
HILBERT
SPACES OF HOLOMORPHIC FUNCTIONS ON COMPLEX LIE GROUPS (Joint
with L. Gross. in {\it New trends in stochastic analysis (Charingworth, 1994)},
76106, World Sci. Publishing, River Edge, NJ, 1997  
Integration
by Parts and QuasiInvariance for Heat Kernel  
Finite
dimensional approximations to Wiener measure and path integral formulas
on manifolds  
YangMills
Theory and the SegalBargmann Transform 
AMS  Meeting Talk at LSU, March 15, 2003: Slides from the talk and for a more detail expository paper see, IHP02.
 
LOOP
SPACE, CURVATURE, AND QUASIINVARIANCE (Centro Vito Volterra Lecture Notes, Universita Degli Studi Di Roma II, October 1992.)  
A
Primer on Riemannian Geometry and Stochastic Analysis on Path Spaces (Lecture notes of talks given at the ETH (Zurich, Switzerland) in February of 1995.)  
Analysis on loop groups. Notes for the talk given for the Conference on " Stochastic Analysis and Harmonic Analysis," June 2630, 2000 at Northwestern University, Evanston, IL 60208. Get either the PDF version or the DVI version. 
Topology and Geometry
seminar, given 11/15/1999: PDF version and DVI
version.  
Topology and Geometry seminars, given 4/11/2000 : PDF version and DVI version. These are notes on Woodhouse's book on geometric quantization. 
The work found here has been in part supported by :
DMS 9101720  
DMS 9223177  
DMS 9612651  
DMS 9971036. 
08/15/2016 02:53 PM 