School of Mathematics Colloquium
Bundles with negatively curved fibres
by Prof. Farrell F.T. (Binghamton University, USA)
Monday, May 7, 2012
from
to
(Asia/Kolkata)
at Colaba Campus ( Lecture Threatre AG-66 )
at Colaba Campus ( Lecture Threatre AG-66 )
Description |
This talk is a report on joint work with Pedro Ontaneda. Let M be a closed smooth manifold which can support a Riemannian metric with sectional curvatures all negative: e.g. a hyperbolic metric. We are interested in smooth M-bundles p:E \to B whose abstract fiber is M; but all of whose specific fibers p^{-1}(x), x in B, are equipped with negatively curved Riemannian metrics b_x, which vary continuously with x. This is called a bundle with negatively curved fibers. We analyze the forget extra structure map from bundles with negatively curved fibers M to smooth M-bundles. |