Abstract
The aim of this chapter is to recall an analog of the bar construction for modular operads, called in this context the Feynman transform and introduced in Getzler and Kapranov (Compos Math 110(1):65–126, 1998), see also Markl et al. (Operads in algebra, topology and physics. In: Mathematical surveys and monographs, vol 96. American Mathematical Society, Providence, RI, 2002).
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References
Barannikov, S.: Modular operads and Batalin-Vilkovisky geometry. Int. Math. Res. Not. 2007(19), 31 (2007). Art. ID rnm075. http://dx.doi.org/10.1093/imrn/rnm075
Getzler, E., Kapranov, M.: Modular operads. Compos. Math. 110(1), 65–126 (1998)
Markl, M., Shnider, S., Stasheff, J.: Operads in algebra, topology and physics. In: Mathematical Surveys and Monographs, vol. 96. American Mathematical Society, Providence, RI (2002)
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Doubek, M., Jurčo, B., Markl, M., Sachs, I. (2020). Feynman Transform of a Modular Operad. In: Algebraic Structure of String Field Theory. Lecture Notes in Physics, vol 973. Springer, Cham. https://doi.org/10.1007/978-3-030-53056-3_7
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DOI: https://doi.org/10.1007/978-3-030-53056-3_7
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