8 citations · 28 across the 13 of their papers we have counts for
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math.DG2016★ 5 cited
Analytic definition of spin structure
Zhirayr Avetisyan, Yan-Long Fang, Nikolai Saveliev +1
We work on a parallelizable time-orientable Lorentzian 4-manifold and prove that in this case the notion of spin structure can be equivalently defined in a purely analytic fashion.…
math.SP2016★ 2 cited
Spectral analysis of the Dirac operator on a 3-sphere
Yan-Long Fang, Michael Levitin, Dmitri Vassiliev
We study the (massless) Dirac operator on a 3-sphere equipped with Riemannian metric. For the standard metric the spectrum is known. In particular, the eigenvalues closest to zero…