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- W2002188317 abstract "We discuss the deformation theory of special Lagrangian (SL) conifolds in ℂm. Conifolds are a key ingredient in the compactification problem for moduli spaces of compact SLs in Calabi-Yau manifolds. This category allows for the simultaneous presence of conical singularities and of non-compact, asymptotically conical, ends. Our main theorem is the natural next step in the chain of results initiated by McLean [Comm. Anal. Geom. 6 (1998) 705–747] and continued by Pacini [Pacific J. Math. 215 (2004) 151–181] and Joyce [Ann. Global Anal. Geom. 25 (2004) 301–352]. We emphasize a unifying framework for studying the various cases and discuss analogies and differences between them. This paper also lays down the geometric foundations for our paper Pacini [Proc. LMS to appear] concerning gluing constructions for SL conifolds in ℂm." @default.
- W2002188317 created "2016-06-24" @default.
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- W2002188317 date "2013-01-17" @default.
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- W2002188317 title "Special Lagrangian conifolds, I: moduli spaces" @default.
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- W2002188317 doi "https://doi.org/10.1112/plms/pds093" @default.
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