Geodesic
On generalized projective product spaces and Dold manifolds
Homology, homotopy, and applications, Tome 24 (2022) no. 2, pp. 265-289.

Voir la notice de l'article provenant de la source International Press of Boston

D. Davis introduced projective product spaces in 2010 as a generalization of real projective spaces and discussed some of their topological properties. On the other hand, Dold manifolds were introduced by A. Dold in 1956 to study the generators of the non-oriented cobordism ring. Recently, in 2019, A. Nath and P. Sankaran made a modest generalization of Dold manifolds. In this paper we simultaneously generalize both the notions of projective product spaces and Dold manifolds, leading to infinitely many different classes of new smooth manifolds. Our main goal will be to study the integral homology groups, cohomology rings, stable tangent bundles, and vector field problems, on certain generalized projective product spaces and Dold manifolds.
DOI : 10.4310/HHA.2022.v24.n2.a13
Classification : 55N10, 55R25, 57R20, 57R25, 57R42
Keywords: Dold manifold, projective product space, toric manifold, small cover, homology group, cohomology ring, vector field, tangent space, Stiefel–Whitney characteristic class 
@article{HHA_2022_24_2_a12,
     author = {Soumen Sarkar and Peter Zvengrowski},
     title = {On generalized projective product spaces and {Dold} manifolds},
     journal = {Homology, homotopy, and applications},
     pages = {265--289},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2022},
     doi = {10.4310/HHA.2022.v24.n2.a13},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2022.v24.n2.a13/}
}
TY  - JOUR
AU  - Soumen Sarkar
AU  - Peter Zvengrowski
TI  - On generalized projective product spaces and Dold manifolds
JO  - Homology, homotopy, and applications
PY  - 2022
SP  - 265
EP  - 289
VL  - 24
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2022.v24.n2.a13/
DO  - 10.4310/HHA.2022.v24.n2.a13
LA  - en
ID  - HHA_2022_24_2_a12
ER  - 
%0 Journal Article
%A Soumen Sarkar
%A Peter Zvengrowski
%T On generalized projective product spaces and Dold manifolds
%J Homology, homotopy, and applications
%D 2022
%P 265-289
%V 24
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2022.v24.n2.a13/
%R 10.4310/HHA.2022.v24.n2.a13
%G en
%F HHA_2022_24_2_a12
Soumen Sarkar; Peter Zvengrowski. On generalized projective product spaces and Dold manifolds. Homology, homotopy, and applications, Tome 24 (2022) no. 2, pp. 265-289. doi : 10.4310/HHA.2022.v24.n2.a13. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2022.v24.n2.a13/

Cité par Sources :