Infinite loop space structure(s) on the stable mapping class group

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dc.creatorWahl, Nathalie
dc.date2002-04-13
dc.date.accessioned2026-07-07T04:47:40Z
dc.date.available2026-07-07T04:47:40Z
dc.descriptionTillmann introduced two infinite loop space structures on the plus construction of the classifying space of the stable mapping class group, each with different computational advantages. The first one uses disjoint union on a suitable cobordism category, whereas the second uses an operad which extends the pair of pants multiplication (i.e. the double loop space structure introduced by E. Y. Miller). She conjectured that these two infinite loop space structures were equivalent, and managed to prove that the first delooping are the same. In this paper, we resolve the conjecture by proving that the two structures are indeed equivalent, exhibiting an explicit geometric map.
dc.description25 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0204169
dc.identifierhttp://arxiv.org/abs/math/0204169
dc.identifierTopology 43 (2004), 343-368
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63805
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subject55P47;32G15;55R35
dc.titleInfinite loop space structure(s) on the stable mapping class group
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