English

Note about Stiefel-Whitney classes on real Bott manifolds

Geometric Topology 2018-08-27 v1

Abstract

Real Bott manifolds is a class of flat manifolds with holonomy group Z2k\mathbb Z_2^k of diagonal type. In this paper we want to show how we can compute even Stiefel - Whitney classes on real Bott manifolds. This paper is an answer to the question of professor Masuda if is it possible to extend A. G\k{a}sior "Spin-structures on real Bott manifolds" (J. Korean Math. Soc. {\bf 54}, (2017), no. 2, 507 - 516) and compute any Stiefel-Whitney classes for real Bott manifolds. It also extends results of A. G\k{a}sior, A. Szczepa\'nski "Flat manifolds with holonomy group Z2kZ_2^k of diagonal type" (Osaka J. Math. {\bf 51} (2014), 1015 - 1025).

Keywords

Cite

@article{arxiv.1808.08030,
  title  = {Note about Stiefel-Whitney classes on real Bott manifolds},
  author = {Anna Gąsior},
  journal= {arXiv preprint arXiv:1808.08030},
  year   = {2018}
}

Comments

Author is supported by the Polish National Science Center grant DEC-2017/01/X/ST1/00062

R2 v1 2026-06-23T03:42:39.443Z