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arXiv · 1601.07346

Orientations of Morse flow trees in Legendrian contact homology

Cecilia Karlsson
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Abstract

Let $\Lambda$ be a closed, connected, spin Legendrian submanifold of the 1-jet space of a smooth $n$-dimensional manifold. We give a coherent orientation scheme for the moduli space of rigid Morse flow trees of $\Lambda$, implying that the Legendrian contact homology of $\Lambda$ with integer coefficients can be computed using Morse flow trees. If $n>1$ then this orientation scheme can be computed with an algorithm which uses intersections of oriented flow manifolds in $M$ together with combinatorial data coming from the trees.

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Cecilia Karlsson. 2016-01-27. Orientations of Morse flow trees in Legendrian contact homology. https://arxiv.org/abs/1601.07346

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