Categorical Non-commutative Geometry
Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
TL;DR
This paper reviews the progress and future directions in categorifying aspects of Alain Connes' non-commutative geometry, highlighting developments up to 2011 and potential research avenues.
Contribution
It provides an overview of the state of categorical non-commutative geometry as of 2011 and discusses possible future research directions.
Findings
Summarizes the status of categorification in non-commutative geometry as of 2011
Outlines potential developments in categorical approaches to non-commutative geometry
Suggests future research directions in the field
Abstract
The purpose of this short note was to outline the current status, then in 2011, of some research programs aiming at a categorification of parts of A.Connes' non-commutative geometry and to provide an outlook on some possible subsequent developments in categorical non-commutative geometry.
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