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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2008; 45(3): 699-709

Printed May 1, 2008

Copyright © The Korean Mathematical Society.

Homology of the gauge group of exceptional Lie group $G_{2}$

Younggi Choi

Seoul National University

Abstract

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We study homology of the gauge group associated with the principal $G_{2}$ bundle over the four-sphere using the Eilenberg-Moore spectral sequence and the Serre spectral sequence with the aid of homology and cohomology operations.

Keywords: exceptional Lie group $G_{2}$, gauge group, iterated loop space, Dyer--Lashof operation, Serre spectral sequence

MSC numbers: 55R20, 55S12

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