Mutation and Gauge Theory I: Yang-Mills Invariants

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dc.creatorRuberman, Daniel
dc.date1997-10-29
dc.date.accessioned2026-07-07T03:24:34Z
dc.date.available2026-07-07T03:24:34Z
dc.descriptionMutation is an operation on 3-manifolds containing an embedded surface of genus 2. It is defined by cutting along the surface and regluing using the `hyperelliptic' involution, and is known to preserve many 3-manifold invariants. I show that mutation of a homology 3-sphere preserves its (instanton) Floer homology, and that a related operation on 4-manifolds preserves the Donaldson invariants. A companion article (in preparation) will treat invariants based on the Seiberg-Witten equations.
dc.descriptionAMSLaTeX, 24 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/dg-ga/9710034
dc.identifierhttp://arxiv.org/abs/dg-ga/9710034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33378
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.titleMutation and Gauge Theory I: Yang-Mills Invariants
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