TY - JOUR
T1 - Equivariant, string and leading order characteristic classes associated to fibrations
AU - Larraín-Hubach, Andrés
AU - Maeda, Yoshiaki
AU - Rosenberg, Steven
AU - Torres-Ardila, Fabián
PY - 2014/5
Y1 - 2014/5
N2 - Infinite rank vector bundles often appear as pushdowns of finite rank bundles from the total space of a fibration to the base space. The infinite rank bundles have string and leading order characteristic classes related to the characteristic classes of the finite rank bundles. We rewrite the S1-index theorem as a statement about equivariant leading order classes on loop spaces, interpret certain Gromov-Witten invariants in terms of leading order and string classes, show that the generators of the cohomology of a loop group are Chern-Simons string classes, and relate Donaldson invariants to leading order currents.
AB - Infinite rank vector bundles often appear as pushdowns of finite rank bundles from the total space of a fibration to the base space. The infinite rank bundles have string and leading order characteristic classes related to the characteristic classes of the finite rank bundles. We rewrite the S1-index theorem as a statement about equivariant leading order classes on loop spaces, interpret certain Gromov-Witten invariants in terms of leading order and string classes, show that the generators of the cohomology of a loop group are Chern-Simons string classes, and relate Donaldson invariants to leading order currents.
KW - Characteristic classes
KW - Donaldson classes
KW - Equivariant index theorem
KW - Gromov-Witten invariants
KW - Infinite rank bundles
KW - Loop group cohomology
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U2 - 10.1016/j.geomphys.2014.01.011
DO - 10.1016/j.geomphys.2014.01.011
M3 - Article
AN - SCOPUS:84894309227
SN - 0393-0440
VL - 79
SP - 34
EP - 52
JO - Journal of Geometry and Physics
JF - Journal of Geometry and Physics
ER -