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.KT2022

A combinatorial integration on the Cantor dust

Takashi Maruyama, Tatsuki Seto

In this paper, we generalize the Cantor function to $2$ -dimensional cubes and construct a cyclic $2$ -cocycle on the Cantor dust. This cocycle is non-trivial on the pullback of the…

math.KT2019

A combinatorial Fredholm module on self-similar sets built on $n$ -cubes

Takashi Maruyama, Tatsuki Seto

We construct a Fredholm module on self-similar sets such as the Cantor dust, the Sierpinski carpet and the Menger sponge. Our construction is a higher dimensional analogue of Conne…

A combinatorial integration on the Cantor dust

A combinatorial Fredholm module on self-similar sets built on n-cubes

A combinatorial Fredholm module on self-similar sets built on $n$ -cubes