Curvature and characteristic numbers of hyperkähler manifolds

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dc.creatorHitchin, Nigel
dc.creatorSawon, Justin
dc.date1999-08-20
dc.date.accessioned2026-07-07T05:30:26Z
dc.date.available2026-07-07T05:30:26Z
dc.descriptionWe express characteristic numbers of compact hyperkähler manifolds in graph-theoretical form, considering them as a special case of the curvature invariants introduced by Rozansky and Witten. The appropriate graphs are generated by ``wheels'' and we use the recently proved Wheeling Theorem to give a formula for the L2 norm of the curvature of an irreducible hyperkähler manifold in terms of the volume and Pontryagin numbers. The formula involves the multiplicative sequence which is the square root of the A-hat polynomial.
dc.descriptionLateX, 17 pages
dc.identifierhttps://arxiv.org/abs/math/9908114
dc.identifierhttp://arxiv.org/abs/math/9908114
dc.identifierDuke Math.J. 106 (2001) 599-615
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78990
dc.subjectDifferential Geometry
dc.subjectQuantum Algebra
dc.subject53C55;53C80
dc.titleCurvature and characteristic numbers of hyperkähler manifolds
dc.typetext

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