On generalized projective product spaces and Dold manifolds

Autor:	Sarkar, Soumen, Zvengrowski, Peter
Rok vydání:	2022
Předmět:	Mathematics (miscellaneous) Mathematics::K-Theory and Homology FOS: Mathematics Algebraic Topology (math.AT) Mathematics - Algebraic Topology Mathematics::Geometric Topology Mathematics::Symplectic Geometry Mathematics::Algebraic Topology
Zdroj:	Homology, Homotopy and Applications. 24:265-289
ISSN:	1532-0081 1532-0073
DOI:	10.4310/hha.2022.v24.n2.a13
Popis:	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. Comment: 30 pages. Several minor and non-mathematical changes have been done. Comments are welcome
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cfa3a644f4e5e70ad7fea1c0c996b793 https://doi.org/10.4310/hha.2022.v24.n2.a13 Zobrazit plný text záznamu Plný text ve formátu PDF