Local index formula for SU_q(2)

Andrzej Sitarz; Giovanni Landi; Joseph C. Varilly; Ludwik Dabrowski; Walter van Suijlekom

arxiv: math/0501287 · v2 · pith:7O7J2GUXnew · submitted 2005-01-19 · 🧮 math.QA

Local index formula for SU_q(2)

Walter van Suijlekom , Ludwik Dabrowski , Giovanni Landi , Andrzej Sitarz , Joseph C. Varilly This is my paper

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keywords formulaindexlocalbundlecocyclesconnes-moscoviciconstructedcosphere

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We discuss the local index formula of Connes-Moscovici for the isospectral noncommutative geometry that we have recently constructed on quantum SU(2). We work out the cosphere bundle and the dimension spectrum as well as the local cyclic cocycles yielding the index formula.

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Local index formula for SU_q(2)

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