A Chekanov-Eliashberg algebra for Legendrian graphs

@article{An2018ACA,
  title={A Chekanov-Eliashberg algebra for Legendrian graphs},
  author={Byung Hee An and Youngjin Bae},
  journal={arXiv: Symplectic Geometry},
  year={2018}
}
  • Byung Hee An, Youngjin Bae
  • Published 2018
  • Mathematics
  • arXiv: Symplectic Geometry
  • We define a differential graded algebra for Legendrian graphs in the standard contact Euclidean three space. This invariant is defined combinatorially by using ideas from Legendrian contact homology. The construction is distinguished from other versions of Legendrian contact algebra by the vertices of Legendrian graphs. A set of countably many generators and a generalized notion of equivalence are introduced for invariance. Our construction also recovers the Chekanov-Eliashberg algebra for… CONTINUE READING

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