Obstructions to special Lagrangian desingularizations and the Lagrangian prescribed boundary problem

Details Obstructions to special Lagrangian desingularizations and the Lagrangian prescribed boundary problem Obstructions to special Lagrangian desingularizations and the Lagrangian prescribed boundary problem

2006-09-13

arxiv.org/abs/math/0609352v4

Geom. Topol. 10 (2006) 1453-1521

Mathematics

Differential Geometry

This is the version published by Geometry & Topology on 21 October 2006 (V4: typesetting corrections)

Scientific paper

10.2140/gt.2006.10.1453

We exhibit infinitely many, explicit special Lagrangian isolated singularities that admit no asymptotically conical special Lagrangian smoothings. The existence/ nonexistence of such smoothings is an important component of the current efforts to understand which singular special Lagrangians arise as limits of smooth special Lagrangians. We also use soft methods from symplectic geometry (the relative version of the h--principle) and tools from algebraic topology to prove (both positive and negative) results about Lagrangian desingularizations of Lagrangian submanifolds with isolated singularities; we view the Lagrangian desingularization problem as the natural soft analogue of the special Lagrangian smoothing problem.

Affiliated with

Also associated with

No associations

Rating

Obstructions to special Lagrangian desingularizations and the Lagrangian prescribed boundary problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Obstructions to special Lagrangian desingularizations and the Lagrangian prescribed boundary problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Obstructions to special Lagrangian desingularizations and the Lagrangian prescribed boundary problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-554810