String structures on loop bundles |
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| Authors: | R. Coquereaux K. Pilch |
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| Affiliation: | (1) Gordon McKay Laboratory, Harvard University, 02138 Cambridge, MA, USA;(2) Department of Mathematics, Massachusetts Institute of Technology, 02139 Cambridge, MA, USA;(3) Present address: Centre de Physique Theorique, section II, CNRS-Luminy, Case 907, F-13288 Marseille, France |
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| Abstract: | Differential geometry and topology of principal loop bundles (bundles of loop groups over loop spaces) are investigated. String structures, defined as bundle extensions corresponding to the central extension of the structure group, do not always exist. Various methods for deriving the obstruction to the existence of string structures are discussed.Supported in part by the U.S. Department of Energy under Grant #DE-FG02-84ER40158 with Harvard University.Supported in part by the NSF Grant #87-08447 and by the U.S. Department of Energy under Contract #DE-AC02-76ER-03069.On leave from the University of Wroclaw, Wroclaw, Poland |
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