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math.AP2016
Remarks on the Hölder-continuity of solutions to parabolic equations with conic singularities
Yuanqi Wang
This is a note on \cite{LSU} and \cite{FS}. Using their work line by line, we prove the Hölder-continuity of solutions to linear parabolic equations of mixed type, assuming the coe…
math.DG2016
Local solution to the monopole equation with prescribed tangent cone and structure
Yuanqi Wang
For any locally defined structure and Hermitian-Yang-Mills connection on , the monopole equation always admits a local solution that is asymptotic to the HYM…
math.DG2016★ 4 cited
Deformation of singular connections I: instantons with point singularities
Yuanqi Wang
In dimension 7, we establish a Fredholm theory for a Dirac-type operator associated to a connection with point singularities. There are two applications. . over a closed 7-manif…