Finiteness of A n-equivalence types of gauge groups

Mitsunobu Tsutaya

doi:10.1112/jlms/jdr040

Finiteness of A _n-equivalence types of gauge groups

Mitsunobu Tsutaya

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

Let B be a finite CW complex and G be a compact connected Lie group. We show that the number of gauge groups of principal G-bundles over B is finite up to A _n-equivalence for n < ∞. As an example, we give a lower bound of the number of A _n-equivalence types of gauge groups of principal SU(2)-bundles overS ⁴.

Original language	English
Pages (from-to)	142-164
Number of pages	23
Journal	Journal of the London Mathematical Society
Volume	85
Issue number	1
DOIs	https://doi.org/10.1112/jlms/jdr040
Publication status	Published - Feb 2012
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1112/jlms/jdr040

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abstract = "Let B be a finite CW complex and G be a compact connected Lie group. We show that the number of gauge groups of principal G-bundles over B is finite up to A n-equivalence for n < ∞. As an example, we give a lower bound of the number of A n-equivalence types of gauge groups of principal SU(2)-bundles overS 4.",

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Finiteness of A _n-equivalence types of gauge groups

Abstract

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