Noncommutative Geometry in the Framework of Differential Graded Categories
Algebraic Geometry
2017-04-04 v2 Quantum Algebra
Abstract
In this survey article we discuss a framework of noncommutative geometry with differential graded categories as models for spaces. We outline a construction of the category of noncommutative spaces and also include a discussion on noncommutative motives. We propose a motivic measure with values in a motivic ring. This enables us to introduce certain zeta functions of noncommutative spaces.
Keywords
Cite
@article{arxiv.0805.1628,
title = {Noncommutative Geometry in the Framework of Differential Graded Categories},
author = {Snigdhayan Mahanta},
journal= {arXiv preprint arXiv:0805.1628},
year = {2017}
}
Comments
19 pages. Minor corrections and one reference added; to appear in the proceedings volume of AGAQ Istanbul, 2006