Homology, Homotopy and Applications
Volume 22 (2020)
Flag Bott manifolds of general Lie type and their equivariant cohomology rings
Pages: 375 – 390
In this article we introduce flag Bott manifolds of general Lie type as the total spaces of iterated flag bundles. They generalize the notion of flag Bott manifolds and generalized Bott manifolds, and admit nice torus actions. We calculate the torus equivariant cohomology rings of flag Bott manifolds of general Lie type.
flag Bott towers of general Lie type, flag Bott manifold, generalized Bott manifold, flag manifold, equivariant cohomology
2010 Mathematics Subject Classification
Primary 14M15, 55R10. Secondary 57S25.
Kaji was partially supported by KAKENHI, Grant-in-Aid for Scientific Research (C) 18K03304. Kuroki was supported by JSPS KAKENHI Grant Number 17K14196. Lee was supported by IBS-R003-D1. Suh was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT & Future Planning (No. 2016R1A2B4010823).
Received 6 May 2019
Received revised 17 August 2019
Accepted 13 August 2019
Published 8 January 2020