HOMOTOPY TYPES OF GAUGE GROUPS OVER NON-SIMPLYCONNECTED CLOSED 4-MANIFOLDS
Glasgow mathematical journal, Tome 61 (2019) no. 2, pp. 349-371
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Let G be a simple, simply connected, compact Lie group, and let M be an orientable, smooth, connected, closed 4-manifold. In this paper, we calculate the homotopy type of the suspension of M and the homotopy types of the gauge groups of principal G-bundles over M when π1(M) is (1) Z*m, (2) Z/prZ, or (3) Z*m*(*nj=1Z/prjjZ), where p and the pj's are odd primes.
SO, TSELEUNG. HOMOTOPY TYPES OF GAUGE GROUPS OVER NON-SIMPLYCONNECTED CLOSED 4-MANIFOLDS. Glasgow mathematical journal, Tome 61 (2019) no. 2, pp. 349-371. doi: 10.1017/S0017089518000241
@article{10_1017_S0017089518000241,
author = {SO, TSELEUNG},
title = {HOMOTOPY {TYPES} {OF} {GAUGE} {GROUPS} {OVER} {NON-SIMPLYCONNECTED} {CLOSED} {4-MANIFOLDS}},
journal = {Glasgow mathematical journal},
pages = {349--371},
year = {2019},
volume = {61},
number = {2},
doi = {10.1017/S0017089518000241},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000241/}
}
TY - JOUR AU - SO, TSELEUNG TI - HOMOTOPY TYPES OF GAUGE GROUPS OVER NON-SIMPLYCONNECTED CLOSED 4-MANIFOLDS JO - Glasgow mathematical journal PY - 2019 SP - 349 EP - 371 VL - 61 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000241/ DO - 10.1017/S0017089518000241 ID - 10_1017_S0017089518000241 ER -
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