When Ext is a Batalin-Vilkovisky algebra

  title={When Ext is a Batalin-Vilkovisky algebra},
  author={Niels Kowalzig},
  journal={arXiv: Rings and Algebras},
  • Niels Kowalzig
  • Published 2016
  • Mathematics
  • arXiv: Rings and Algebras
  • We show under what conditions the complex computing general Ext-groups carries the structure of a cyclic operad such that Ext becomes a Batalin-Vilkovisky algebra. This is achieved by transferring cyclic cohomology theories for the dual of a (left) Hopf algebroid to the complex in question, which asks for the notion of contramodules introduced along with comodules by Eilenberg-Moore half a century ago. Another crucial ingredient is an explicit formula for the inverse of the Hopf-Galois map on… CONTINUE READING


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