Ai Guan

activity

20182025

most citedReview of deformation theory II: a homotopical approach

7 citations · 17 across the 11 of their papers we have counts for

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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★ 7 cited

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★ 2 cited

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