Tatsuki Seto

activity

20142026

most citedToeplitz operators and the Roe-Higson type index theorem in Riemannian surfaces

1 citations · 1 across the 8 of their papers we have counts for

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math.DG2014

Toeplitz operators and the Roe-Higson type index theorem

Tatsuki Seto

Let $M$ be a complete Riemannian manifold and assume that $M$ is partitioned by a hypersurface $N$ . In this paper we introduce a novel class of functions $C_{w} (M)$ on non…

math.DG2014★ 1 cited

Toeplitz operators and the Roe-Higson type index theorem in Riemannian surfaces

Tatsuki Seto

We study a two dimensional analogue of the Roe-Higson index theorem for a partitioned manifold. We prove that Connes' pairing of some invertible element with Roe's cyclic one-cocyc…