Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 15, Number 2 (2015), 965-986.
Invariance of Pontrjagin classes for Bott manifolds
A Bott manifold is the total space of some iterated –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 –trivial, where a Bott manifold is called –trivial if its cohomology ring with –coefficients is isomorphic to that of a product of copies of .
Algebr. Geom. Topol., Volume 15, Number 2 (2015), 965-986.
Received: 6 May 2014
Revised: 15 September 2014
Accepted: 18 September 2014
First available in Project Euclid: 28 November 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Choi, Suyoung; Masuda, Mikiya; Murai, Satoshi. Invariance of Pontrjagin classes for Bott manifolds. Algebr. Geom. Topol. 15 (2015), no. 2, 965--986. doi:10.2140/agt.2015.15.965. https://projecteuclid.org/euclid.agt/1511895795