Record Details

Farrell-Jones spheres and inertia groups of complex projective spaces

DSpace at IIT Bombay

View Archive Info
 
 
Field Value
 
Title Farrell-Jones spheres and inertia groups of complex projective spaces
 
Creator RAMESH, K
 
Subject HYPERBOLIC MANIFOLDS
Locally symmetric space
exotic smooth structure
complex hyperbolic
inertia groups
 
Description We introduce and study a new class of homotopy spheres called Farrell-Jones spheres. Using Farrell-Jones sphere we construct examples of closed negatively curved manifolds M-2n, where n = 7 or 8, which are homeomorphic but not diffeomorphic to complex hyperbolic manifolds, thereby giving a partial answer to a question raised by C. S. Aravinda and F. T. Farrell. We show that every exotic sphere not bounding a spin manifold (Hitchin sphere) is a Farrell-Jones sphere. We also discuss the relationship between inertia groups of CPn and Farrell-Jones spheres.
 
Publisher WALTER DE GRUYTER GMBH
 
Date 2016-01-15T10:28:16Z
2016-01-15T10:28:16Z
2015
 
Type Article
 
Identifier FORUM MATHEMATICUM, 27(5)3005-3015
0933-7741
1435-5337
http://dx.doi.org/10.1515/forum-2013-0072
http://dspace.library.iitb.ac.in/jspui/handle/100/18346
 
Language en