M. Ohara

activity

20182021

collaborators

3 papers

math.AT2021

The 23-rd and 24-th homotopy groups of the n-th rotation group

Yoshihiro Hirato, Jin-ho Lee, Toshiyuki Miyauchi +2

We denote by $π_{k} (R_{n})$ the $k$ -th homotopy group of the $n$ -th rotation group $R_{n}$ and $π_{k} (R_{n} : 2)$ the 2-primary components of it. We determine the group structures of $π_k(R_n:…

math.KT2020

Cotorsion pairs in Hopfological algebra

Mariko Ohara, Dai Tamaki

In an intriguing paper arXiv:math/0509083 Khovanov proposed a generalization of homological algebra, called Hopfological algebra. Since then, several attempts have been made to imp…

math.KT2018

On graded $E_{\infty}$ -rings and projective schemes in spectral algebraic geometry

Mariko Ohara, Takeshi Torii

We introduce graded $E_{\infty}$ -rings and graded modules over them, and study their properties. We construct projective schemes associated to connective $N$ -grad…

The 23-rd and 24-th homotopy groups of the n-th rotation group

Cotorsion pairs in Hopfological algebra

On graded E∞​-rings and projective schemes in spectral algebraic geometry

On graded $E_{\infty}$ -rings and projective schemes in spectral algebraic geometry