Strong cohomological rigidity of Hirzebruch surface bundles in Bott towers

Hiroaki ISHIDA

doi:10.2969/jmsj/88718871

Abstract

We show the strong cohomological rigidity of Hirzebruch surface bundles over Bott manifolds. As a corollary, we have that the strong cohomological rigidity conjecture is true for Bott manifolds of dimension 8.

Funding Statement

This work is supported by JSPS KAKENHI Grant Number JP20K03592.

Citation

Download Citation

Hiroaki ISHIDA. "Strong cohomological rigidity of Hirzebruch surface bundles in Bott towers." J. Math. Soc. Japan 76 (1) 125 - 145, January, 2024. https://doi.org/10.2969/jmsj/88718871

Information

Received: 3 January 2022; Revised: 17 June 2022; Published: January, 2024

First available in Project Euclid: 12 March 2023

Digital Object Identifier: 10.2969/jmsj/88718871

Subjects:

Primary: 57S12

Secondary: 14M25 , 57R19 , 57S25

Keywords: Bott manifold , Bott tower , cohomological rigidity , toric manifolds

Abstract

Funding Statement

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS