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Morse Theory and the Lusternik–Schnirelmann Category of Quaternionic Grassmannians

Published online by Cambridge University Press:  25 October 2016

Enrique Macías-Virgós
Affiliation:
Departamento de Xeometría e Topoloxía, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain ([email protected])
María José Pereira-sáez
Affiliation:
Facultade de Economía e Empresa, Universidade da Coruña, 15071 A Coruña, Spain ([email protected])
Daniel Tanré
Affiliation:
Département de Mathématiques, Université de Lille 1, 59655 Villeneuve d'Ascq Cedex, France ([email protected])

Abstract

The Lusternik–Schnirelmann category of the quaternionic Grassmannian

is known to be k(n − k). In this paper we show that this result can be deduced from Morse theory.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2017 

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