Compact homogeneous spaces with positive euler characteristic and their 'strange formulae'

John M. Burns; Mohammad A. Makrooni

doi:10.1093/qmath/hav009

Compact homogeneous spaces with positive euler characteristic and their 'strange formulae'

John M. Burns
, Mohammad A. Makrooni

University of Galway

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

In this note, we prove a generalization of the 'strange formula' of Freudenthal and de-Vries for compact homogeneous spaces with positive Euler characteristic. As a corollary, we obtain a new proof of the original formula. We also apply our results to computing a topological invariant used to study hyper-Kähler structures.

Original language	English
Pages (from-to)	507-516
Number of pages	10
Journal	Quarterly Journal of Mathematics
Volume	66
Issue number	2
DOIs	https://doi.org/10.1093/qmath/hav009
Publication status	Published - 2015
Externally published	Yes

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abstract = "In this note, we prove a generalization of the 'strange formula' of Freudenthal and de-Vries for compact homogeneous spaces with positive Euler characteristic. As a corollary, we obtain a new proof of the original formula. We also apply our results to computing a topological invariant used to study hyper-K{\"a}hler structures.",

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AB - In this note, we prove a generalization of the 'strange formula' of Freudenthal and de-Vries for compact homogeneous spaces with positive Euler characteristic. As a corollary, we obtain a new proof of the original formula. We also apply our results to computing a topological invariant used to study hyper-Kähler structures.

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U2 - 10.1093/qmath/hav009

DO - 10.1093/qmath/hav009

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JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

IS - 2

ER -

Compact homogeneous spaces with positive euler characteristic and their 'strange formulae'

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