Abstract
We give an explicit description of the fundamental properad L K of an ∞-properad K. The fundamental properad of an ∞-properad consists of homotopy classes of 1-dimensional elements. It takes a bit of work to prove that there is a well-defined homotopy relation among 1-dimensional elements and that a properad structure can be defined on homotopy classes.
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References
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Hackney, P., Robertson, M., Yau, D. (2015). Fundamental Properads of Infinity Properads. In: Infinity Properads and Infinity Wheeled Properads. Lecture Notes in Mathematics, vol 2147. Springer, Cham. https://doi.org/10.1007/978-3-319-20547-2_8
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DOI: https://doi.org/10.1007/978-3-319-20547-2_8
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-20546-5
Online ISBN: 978-3-319-20547-2
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