Ryo Kato

activity

20122025

most citedRational orbits of the space of pairs of exceptional Jordan algebras

1 citations · 4 across the 7 of their papers we have counts for

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math.AT2025

A note on the Greek letter elements of the homotopy of the $L_{n}$ -local spheres

Ryo Kato, Katsumi Shimomura, Mao-no-suke Shimomura

Let $B P$ denote the Brown-Peterson spectrum at a prime $p$ , whose homotopy groups are isomorphic to the polynomial algebra generated by elements $v_{i}$ 's for $i \geq 1$ . We consider t…

math.AT2021

Generalized Moore spectra and Hopkins' Picard groups for a smaller chromatic level

Ryo Kato, You-na Kawamoto, Hiroki Okajima +1

Let $L_{n}$ for a positive integer $n$ denote the stable homotopy category of $v_{n}^{- 1} B P$ -local spectra at a prime number $p$ . Then, M.~Hopkins defines the Picard group of…

math.AT2012★ 1 cited

Products of Greek letter elements dug up from the third Morava stabilizer algebra

Ryo Kato, Katsumi Shimomura

Oka and the second author considered the cohomology of the second Morava stabilizer algebra to study nontriviality of the products of beta elements of the stable homotopy groups of…

math.AT2012

The first line of the Bockstein spectral sequence on a monochromatic spectrum at an odd prime

Ryo Kato, Katsumi Shimomura

The chromatic spectral sequence is introduced in \cite{mrw} to compute the $E_{2}$ -term of the \ANSS\ for computing the stable homotopy groups of spheres. The $E_{1}$ -term $E_1^{s,t}(k…

A note on the Greek letter elements of the homotopy of the Ln​-local spheres

Generalized Moore spectra and Hopkins' Picard groups for a smaller chromatic level

Products of Greek letter elements dug up from the third Morava stabilizer algebra

The first line of the Bockstein spectral sequence on a monochromatic spectrum at an odd prime

A note on the Greek letter elements of the homotopy of the $L_{n}$ -local spheres