The geometric complexity of special Lagrangian $T^2$-cones

Mark Haskins

doi:10.1007/s00222-003-0348-x

The geometric complexity of special Lagrangian $T^2$-cones

Differential Geometry 2009-11-10 v2

Authors: Mark Haskins

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Abstract

We prove a number of results relating various measures (volume, Legendrian index, stability index, and spectral curve genus) of the geometric complexity of special Lagrangian $T^2$ -cones. We explain how these results fit into a program to understand the "most common" three-dimensional isolated singularities of special Lagrangian submanifolds in almost Calabi-Yau manifolds.

Keywords

special lagrangian cones geometric complexity legendrian index stability index spectral curve genus isolated singularities almost calabi-yau manifolds

Cite

@article{arxiv.math/0307129,
  title  = {The geometric complexity of special Lagrangian $T^2$-cones},
  author = {Mark Haskins},
  journal= {arXiv preprint arXiv:math/0307129},
  year   = {2009}
}

Comments

Revised version accepted for publication in Inventiones Mathematicae. 46 pages, 2 tables. Reference added relating to Theorem B. Section 3.4.2, section 4.2 and Appendix B streamlined. Typographical errors corrected and references updated

The geometric complexity of special Lagrangian $T^2$-cones

Abstract

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