Topological quantum field theory and hyperkähler geometry

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dc.creatorSawon, Justin
dc.date2000-09-25
dc.date.accessioned2026-07-07T12:59:43Z
dc.date.available2026-07-07T12:59:43Z
dc.descriptionRozansky and Witten proposed a 3-dimensional sigma-model whose target space is a hyperkähler manifold. They conjectured that this theory has an associated TQFT, with Hilbert spaces given by certain cohomology groups of the hyperkähler manifold. On the other hand, there is a certain modified TQFT constructed by Murakami and Ohtsuki using the universal quantum invariant. We explain how the Rozansky-Witten TQFT can be obtained from the latter by applying a `hyperkähler weight system'.
dc.descriptionLaTeX, 26 pages, 13 figures; submitted to Proceedings of 7th Gokova Geometry-Topology Conference (2000), uses gokova.cls and goksty.tex
dc.identifierhttps://arxiv.org/abs/math/0009222
dc.identifierhttp://arxiv.org/abs/math/0009222
dc.identifierTurkish J. Math. 25 (2001), no. 1, 169-194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225657
dc.subjectQuantum Algebra
dc.subjectDifferential Geometry
dc.subject53C26;57R56;57M27
dc.titleTopological quantum field theory and hyperkähler geometry
dc.typetext

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