Deligne's conjecture on Hochschild cohomology

In deformation theory, a branch of mathematics, Deligne's conjecture is about the operadic structure on Hochschild cochain complex. Various proofs have been suggested by Dmitry Tamarkin,^[1][2] Alexander A. Voronov,^[3] James E. McClure and Jeffrey H. Smith,^[4] Maxim Kontsevich and Yan Soibelman,^[5] and others, after an initial input of construction of homotopy algebraic structures on the Hochschild complex.^[6][7] It is of importance in relation with string theory.

See also

• Piecewise algebraic space