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arXiv · 0805.1628

Noncommutative Geometry in the Framework of Differential Graded Categories

Snigdhayan Mahanta
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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.

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Snigdhayan Mahanta. 2008-05-12. Noncommutative Geometry in the Framework of Differential Graded Categories. https://doi.org/10.1007/978-0-8176-4831-2_9

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