Tangent Algebra of Saturated Triangulated Category

Student: Novikov Aleksandr

Educational Programme: Mathematics (Bachelor)

Year of Graduation: 2018

Definitions of Hochschild holomogies and cohomologies are given. An isomorphism between natural transformations from the identity functor to a Serre functor and the dual space of zero Hochschild holomogies of a triangulated category is proved. A definition of a noncommutative analogue of the Atiyah class is given.

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