Ai Guan

activity

20182020

collaborators

Showing math.ATShow all

3 papers · 1 filter

math.AT2020

Model category structures on multicomplexes

Xin Fu, Ai Guan, Muriel Livernet +1

We present a family of model structures on the category of multicomplexes. There is a cofibrantly generated model structure in which the weak equivalences are the morphisms inducin…

math.AT2019

Review of deformation theory II: a homotopical approach

Ai Guan, Andrey Lazarev, Yunhe Sheng +1

We give a general treatment of deformation theory from the point of view of homotopical algebra following Hinich, Manetti and Pridham. In particular, we show that any deformation f…

math.AT2018

Gauge equivalence for complete $L_{\infty}$ -algebras

Ai Guan

We introduce a notion of left homotopy for Maurer--Cartan elements in $L_{\infty}$ -algebras and $A_{\infty}$ -algebras, and show that it corresponds to gauge equivalence in the diff…

Model category structures on multicomplexes

Review of deformation theory II: a homotopical approach

Gauge equivalence for complete L∞​-algebras

Gauge equivalence for complete $L_{\infty}$ -algebras