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On the rigidity of stable maps to Calabi–Yau
threefolds
Jim Bryan and Rahul Pandharipande
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Geometry & Topology Monographs 8
(2006) 97–104
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Abstract
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If X⊂Y is a nonsingular curve in a Calabi–Yau threefold
whose normal bundle NX/Y is a generic semistable bundle, are the
local Gromov–Witten invariants of X well defined? For X of genus
two or higher, the issues are subtle. We will formulate a precise
line of inquiry and present some results, some positive and some
negative.
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Keywords
Calabi–Yau manifold, deformations,
Gromov–Witten theory
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Mathematical Subject Classification
Primary: 14J32
Secondary: 14N35
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Publication
Received: 19 April 2004
Revised: 2 February 2005
Accepted: 11 March 2005
Published: 22 April 2006
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