Invariance of pontrjagin classes for bott manifolds

Suyoung Choi, Mikiya Masuda, Satoshi Murai

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

A Bott manifold is the total space of some iterated ℂℙ1 –bundles over a point. We prove that any graded ring isomorphism between the cohomology rings of two Bott manifolds preserves their Pontrjagin classes. Moreover, we prove that such an isomorphism is induced from a diffeomorphism if the Bott manifolds are ℤ/2– trivial, where a Bott manifold is called ℤ/2–trivial if its cohomology ring with ℤ/2–coefficients is isomorphic to that of a product of copies of  ℂℙ1.

Original languageEnglish
Pages (from-to)965-986
Number of pages22
JournalAlgebraic and Geometric Topology
Volume15
Issue number2
DOIs
Publication statusPublished - 2015 Apr 22
Externally publishedYes

ASJC Scopus subject areas

  • Geometry and Topology

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