A class of 4-pseudomanifolds similar to the lense spaces.
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Anna Donati (1987)
Aequationes mathematicae
Mary Ellen Rudin (1988)
Commentationes Mathematicae Universitatis Carolinae
C.McA. Gordon, A.J. Casson (1983)
Inventiones mathematicae
R. Ayala, A. Quintero (1992)
Collectanea Mathematica
M.G.C. Andrade, E.L.C. Fanti (1994)
Manuscripta mathematica
W. Mitchell (1978)
Fundamenta Mathematicae
Andreas Stieglitz (1978)
Mathematische Annalen
Ronald Rosen (1976)
Fundamenta Mathematicae
T.L. Thickstun (1984)
Inventiones mathematicae
Hillman, Jonathan A. (2004)
Algebraic & Geometric Topology
Kenneth S. Brown, R. Geoghegan (1984)
Inventiones mathematicae
Gonzalo E. Reyes (1981)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Luc Menichi (2009)
Bulletin de la Société Mathématique de France
Let be any compact simply-connected oriented -dimensional smooth manifold and let be any field. We show that the Gerstenhaber algebra structure on the Hochschild cohomology on the singular cochains of , , extends to a Batalin-Vilkovisky algebra. Such Batalin-Vilkovisky algebra was conjectured to exist and is expected to be isomorphic to the Batalin-Vilkovisky algebra on the free loop space homology on , introduced by Chas and Sullivan. We also show that the negative cyclic cohomology ...
Stefan Papadima, Barbu Berceanu (1994)
Mathematische Annalen
Roger Gómez-Ortells (2014)
Colloquium Mathematicae
We show that the second group of cohomology with compact supports is nontrivial for three-dimensional systolic pseudomanifolds. It follows that groups acting geometrically on such spaces are not Poincaré duality groups.
S. Singh (1981)
Fundamenta Mathematicae
F. Quinn (1986)
Inventiones mathematicae
Heinz Müller (1981)
Mathematische Zeitschrift
Denise Halverson, Dušan Repovš (2013)
Open Mathematics
We show that all finite-dimensional resolvable generalized manifolds with the piecewise disjoint arc-disk property are codimension one manifold factors. We then show how the piecewise disjoint arc-disk property and other general position properties that detect codimension one manifold factors are related. We also note that in every example presently known to the authors of a codimension one manifold factor of dimension n ≥ 4 determined by general position properties, the piecewise disjoint arc-disk...
Jean Barge (1980)
Inventiones mathematicae
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