Dual curves and pseudoholomorphic curves

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dc.creatorMcKay, Benjamin
dc.date2001-01-02
dc.date2005-08-06
dc.date.accessioned2026-07-07T04:39:29Z
dc.date.available2026-07-07T04:39:29Z
dc.descriptionA notion of dual curve for pseudoholomorphic curves in 4--manifolds turns out to be possible only if the notion of almost complex structure structure is slightly generalized. The resulting structure is as easy (perhaps easier) to work with, and yields many analogues of results in complex surface theory, using a description of the local geometry via Cartan's method of equivalence. Duality then uncovers a new infinite-dimensional family of geometric integrable systems. These are the first steps toward geometry on moduli spaces of pseudoholomorphic curves.
dc.description50 pages. LaTeX 2e, to appear in Selecta Mathematica, v2: typos, v3: small points clarified for referees' satisfaction; see http://euclid.ucc.ie/pages/staff/Mckay/bmckay.htm
dc.identifierhttps://arxiv.org/abs/math/0101017
dc.identifierhttp://arxiv.org/abs/math/0101017
dc.identifierSelecta Mathematica N.S., 9 (2003), pp. 251-311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60681
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject53D45
dc.titleDual curves and pseudoholomorphic curves
dc.typetext

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