Geodesic
Fundamental groups of aspherical manifolds and maps of non-zero degree
Christoforos Neofytidis1
1SUNY Binghamton, USA
Groups, geometry, and dynamics, Tome 12 (2018) no. 2, pp. 637-677

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DOI

We define a new class of irreducible groups, called groups not infinite-indexpresentable by products or not IIPP. We prove that certain aspherical manifolds with fundamental groups not IIPP do not admit maps of non-zero degree from direct products. This extends previous results of Kotschick and Löh, providing new classes of aspherical manifolds – beyond those non-positively curved ones which were predicted by Gromov – that do not admit maps of non-zero degree from direct products.
DOI : 10.4171/ggd/451
Classification : 57-XX, 53-XX, 55-XX
Mots-clés : Aspherical manifolds, non-zero degree maps, groups (not) infinite-index presentable by products, circle bundles, Thurston’s geometries, simplicial volume

Christoforos Neofytidis  1

1 SUNY Binghamton, USA 
Christoforos Neofytidis. Fundamental groups of aspherical manifolds and maps of non-zero degree. Groups, geometry, and dynamics, Tome 12 (2018) no. 2, pp. 637-677. doi: 10.4171/ggd/451
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     title = {Fundamental groups of aspherical manifolds and maps of non-zero degree},
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     year = {2018},
     volume = {12},
     number = {2},
     doi = {10.4171/ggd/451},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/451/}
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