Geodesic
Properads and homological differential operators related to surfaces
Archivum mathematicum, Tome 54 (2018) no. 5, pp. 299-312 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We give a biased definition of a properad and an explicit example of a closed Frobenius properad. We recall the construction of the cobar complex and algebra over it. We give an equivalent description of the algebra in terms of Barannikov’s theory which is parallel to Barannikov’s theory of modular operads. We show that the algebra structure can be encoded as homological differential operator. Example of open Frobenius properad is mentioned along its specific properties.
We give a biased definition of a properad and an explicit example of a closed Frobenius properad. We recall the construction of the cobar complex and algebra over it. We give an equivalent description of the algebra in terms of Barannikov’s theory which is parallel to Barannikov’s theory of modular operads. We show that the algebra structure can be encoded as homological differential operator. Example of open Frobenius properad is mentioned along its specific properties.
DOI : 10.5817/AM2018-5-299
Classification : 18D50
Keywords: properads; Frobenius properad; cobar complex; Barannikov’s type theory; homological differential operators 
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Peksová, Lada. Properads and homological differential operators related to surfaces. Archivum mathematicum, Tome 54 (2018) no. 5, pp. 299-312. doi: 10.5817/AM2018-5-299

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