Address: Charles University, Faculty of Mathematics and Physics, Sokolovská 83, 186 75 Prague, Czech Republic
E-mail: lada.peksova@gmail.com
Abstract: We introduce the connected sum for modular operads. This gives us a graded commutative associative product, and together with the BV bracket and the BV Laplacian obtained from the operadic composition and self-composition, we construct the full Batalin-Vilkovisky algebra. The BV Laplacian is then used as a perturbation of the special deformation retract of formal functions to construct a minimal model and compute an effective action.
AMSclassification: primary 18D50; secondary 81T99.
Keywords: modular operads, connected sum, Batalin-Vilkovisky algebra, homological perturbation lemma.
DOI: 10.5817/AM2020-5-287