Odd primary homotopy decompositions of gauge groups

Stephen D Theriault

doi:10.2140/agt.2010.10.535

Odd primary homotopy decompositions of gauge groups

Stephen D Theriault

Mathematical Science

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

27 Citations (Scopus)

Abstract

We construct p–local decompositions of certain gauge groups when p is an odd prime. Specifically, we decompose SU(n), Sp(n) and Spin(n)–gauge groups over simply connected 4–manifolds and U(n)–gauge groups over compact, orientable Riemann surfaces, given certain restrictions on n that depend on p.

Original language	English
Pages (from-to)	535-564
Number of pages	30
Journal	Algebraic & Geometric Topology
Volume	10
Issue number	1
DOIs	https://doi.org/10.2140/agt.2010.10.535
Publication status	Published - Mar 2010

Keywords

gauge group
p–local
decomposition

Access to Document

10.2140/agt.2010.10.535

Cite this

@article{ea3a37e6ec504974a6bc72e879772d8e,

title = "Odd primary homotopy decompositions of gauge groups",

abstract = "We construct p–local decompositions of certain gauge groups when p is an odd prime. Specifically, we decompose SU(n), Sp(n) and Spin(n)–gauge groups over simply connected 4–manifolds and U(n)–gauge groups over compact, orientable Riemann surfaces, given certain restrictions on n that depend on p.",

keywords = "gauge group, p–local, decomposition",

author = "Theriault, {Stephen D}",

year = "2010",

month = mar,

doi = "10.2140/agt.2010.10.535",

language = "English",

volume = "10",

pages = "535--564",

journal = "Algebraic & Geometric Topology",

issn = "1472-2747",

publisher = "Agriculture.gr",

number = "1",

}

TY - JOUR

T1 - Odd primary homotopy decompositions of gauge groups

AU - Theriault, Stephen D

PY - 2010/3

Y1 - 2010/3

N2 - We construct p–local decompositions of certain gauge groups when p is an odd prime. Specifically, we decompose SU(n), Sp(n) and Spin(n)–gauge groups over simply connected 4–manifolds and U(n)–gauge groups over compact, orientable Riemann surfaces, given certain restrictions on n that depend on p.

AB - We construct p–local decompositions of certain gauge groups when p is an odd prime. Specifically, we decompose SU(n), Sp(n) and Spin(n)–gauge groups over simply connected 4–manifolds and U(n)–gauge groups over compact, orientable Riemann surfaces, given certain restrictions on n that depend on p.

KW - gauge group

KW - p–local

KW - decomposition

U2 - 10.2140/agt.2010.10.535

DO - 10.2140/agt.2010.10.535

M3 - Article

SN - 1472-2747

VL - 10

SP - 535

EP - 564

JO - Algebraic & Geometric Topology

JF - Algebraic & Geometric Topology

IS - 1

ER -

Odd primary homotopy decompositions of gauge groups

Abstract

Keywords

Access to Document

Fingerprint

Cite this