A HOCHSCHILD COHOMOLOGY COMPARISON THEOREM FOR PRESTACKS

作者:Lowen Wendy*; Van den Bergh Michel
来源:Transactions of the American Mathematical Society, 2011, 363(2): 969-986.
DOI:10.1090/S0002-9947-2010-05288-2

摘要

We generalize and clarify Gerstenhaber and Schack's "Special Cohomology Comparison Theorem". More specifically we obtain a fully faithful functor between the derived categories of bimodules over a prestack over a small category U and the derived category of bimodules over its corresponding fibered category. In contrast to Gerstenhaber and Schack we do not have to assume that U is a poset.

  • 出版日期2011-2