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arXiv · 1904.04356

Algebraic Topology of Special Lagrangian Manifolds

Mustafa Kalafat·Eyüp Yalçınkaya
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Abstract

In this paper, we prove various results on the topology of the Grassmannian of oriented 3-planes in Euclidean 6-space and compute its cohomology ring. We give self-contained proofs. These spaces come up when studying submanifolds of manifolds with calibrated geometries. We collect these results here for the sake of completeness. As applications of our algebraic topological study we present some results on special Lagrangian-free embeddings of surfaces and 3-manifolds into the Euclidean 4 and 6-space.

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Mustafa Kalafat, Eyüp Yalçınkaya. 2019-04-08. Algebraic Topology of Special Lagrangian Manifolds. https://arxiv.org/abs/1904.04356

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