CATEGORIFIED NONCOMMUTATIVE MANIFOLDS
2009 ◽
Vol 24
(15)
◽
pp. 2802-2819
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Keyword(s):
We construct a noncommutative geometry with generalised 'tangent bundle' from Fell bundle C*-categories (E) beginning by replacing pair groupoid objects (points) with objects in E. This provides a categorification of a certain class of real spectral triples where the Dirac operator D is constructed from morphisms in a category. Applications for physics include quantization via the tangent groupoid and new constraints on D finite (the fermion mass matrix).
2013 ◽
Vol 28
(25)
◽
pp. 1350120
◽
2010 ◽
Vol 25
(32)
◽
pp. 5897-5911
◽
Keyword(s):
1984 ◽
Vol 10
(1)
◽
pp. 1-10
◽
2009 ◽
Vol 24
(01)
◽
pp. 101-112
◽
Keyword(s):
2015 ◽
Vol 12
(08)
◽
pp. 1560021
1981 ◽
Vol 46
(11)
◽
pp. 691-694
◽
1982 ◽
Vol 8
(3)
◽
pp. 295-318
◽
Keyword(s):