scholarly journals Survey on aspherical manifolds

2010 ◽  
pp. 53-82 ◽  
Author(s):  
Wolfgang Lück
Keyword(s):  
Aspherical Manifolds

Aspherical manifolds, Mellin transformation and a question of Bobadilla–Kollár

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Yongqiang Liu ◽  
Laurenţiu Maxim ◽  
Botong Wang
Keyword(s):  
Integral Homology ◽  
Algebraic Varieties ◽  
Finiteness Property ◽  
Rational Homology ◽  
Mellin Transformation ◽  
Hopf Conjecture ◽  
Ball Quotients ◽  
Proper Map ◽  
Complex Projective ◽  
Aspherical Manifolds

Abstract In their paper from 2012, Bobadilla and Kollár studied topological conditions which guarantee that a proper map of complex algebraic varieties is a topological or differentiable fibration. They also asked whether a certain finiteness property on the relative covering space can imply that a proper map is a fibration. In this paper, we answer positively the integral homology version of their question in the case of abelian varieties, and the rational homology version in the case of compact ball quotients. We also propose several conjectures in relation to the Singer–Hopf conjecture in the complex projective setting.

scholarly journals Length minimizing Hamiltonian paths for symplectically aspherical manifolds

2003 ◽  
Vol 53 (5) ◽  
pp. 1503-1526 ◽  
Author(s):  
Ely Kerman ◽  
François Lalonde
Keyword(s):  
Hamiltonian Paths ◽  
Aspherical Manifolds ◽  
Symplectically Aspherical

Aspherical manifolds without smooth or PL structure

1989 ◽  
pp. 135-142 ◽  
Author(s):  
Michael W. Davis ◽  
Jean-Claude Hausmann
Keyword(s):  
Aspherical Manifolds

On the holomorphic torus-Bott tower of aspherical manifolds

2014 ◽  
Vol 286 (1) ◽  
pp. 253-267 ◽  
Author(s):  
Yoshinobu Kamishima ◽  
Mayumi Nakayama
Keyword(s):  
Aspherical Manifolds
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