NONUNITAL SPECTRAL TRIPLES ASSOCIATED TO DEGENERATE METRICS
Keyword(s):
We show that one can define (p,∞)-summable spectral triples using degenerate metrics on smooth manifolds. Furthermore, these triples satisfy Connes–Moscovici's discrete and finite dimension spectrum hypothesis, allowing one to use the Local Index Theorem [1] to compute the pairing with K-theory. We demonstrate this with a concrete example.
2019 ◽
Vol 162
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pp. 1-140
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2018 ◽
Vol 109
(5)
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pp. 1119-1143
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1987 ◽
Vol 3
(2)
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pp. 152-169
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1987 ◽
Vol 42
(6)
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pp. 169-190
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