Note about Stiefel-Whitney classes on real Bott manifolds

2018/08/24 by Gąsior, Anna
#20H15 (Secondary) #53C29 (Primary) #57S25 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1808.08030

Abstract

Real Bott manifolds is a class of flat manifolds with holonomy group \mathbb Z₂^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. Gąsior "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. Gąsior, A. Szczepański "Flat manifolds with holonomy group Z₂^k of diagonal type" (Osaka J. Math. \bf 51 (2014), 1015 - 1025).

Related

• Flat manifolds with holonomy group Z₂^k of diagonal type
• Results on the topology of generalized real Bott manifolds
• Some results on the topology of real Bott towers
• Spinc structures on real Bott manifolds
• Classification of real Bott manifolds