Guan Ren

collaborators

3 papers

math.KT2022

$K_{0}$ groups of Connes' $Θ$ -deformed $m$ -planes

Ren Guan

We show that the $K_{0}$ groups of Connes' $Θ$ -deformed $m$ -planes and their smooth versions are all $Z$ .

math.DG2022

A variation of the reduced Vafa-Witten equations on 4-manifolds

Ren Guan

In this paper we consider a variation of the Vafa-Witten equations on compact, oriented and smooth 4-manifolds, and construct a set of perturbation terms to establish the transvers…

math.RA2022

$K_{0}$ groups of noncommutative $R^{2 n}$

Ren Guan

In this paper we show that the $K_{0}$ groups of noncommutative $R^{2 n}$ are $Z$ for $\forall n \in N^{*}$ and make an approach to the calculation of the smoot…

K0​ groups of Connes' Θ-deformed m-planes

A variation of the reduced Vafa-Witten equations on 4-manifolds

K0​ groups of noncommutative R2n

$K_{0}$ groups of Connes' $Θ$ -deformed $m$ -planes

$K_{0}$ groups of noncommutative $R^{2 n}$