5 papers
Locally finite infinity-modules and weak Loday-Pirashvili modules over differential graded Lie algebras
Zhuo Chen, Yu Qiao, Maosong Xiang +1
Motivated by recent developments of -categorical theories related to differential graded (dg for short) Lie algebras, we develop a general framework for locally finite $\in…
On Lie Bialgebroid Crossed Modules
Honglei Lang, Yu Qiao, Yanbin Yin
We study Lie bialgebroid crossed modules which are pairs of Lie algebroid crossed modules in duality that canonically give rise to Lie bialgebroids. A one-one correspondence betwee…
Gluing action groupoids: Fredholm conditions and layer potentials
Catarina Carvalho, Rémi Côme, Yu Qiao
This paper is a merge of arXiv:1807.05418 and arXiv:1808.01442. We introduce a new class of groupoids, called "boundary action groupoids", which are obtained by gluing reductions o…
Fredholm Groupoids and Layer Potentials on Conical Domains
Catarina Carvalho, Yu Qiao
We show that layer potential groupoids for conical domains constructed in an earlier paper (Carvalho-Qiao, Central European J. Math., 2013) are Fredholm groupoids, which enables us…
Fredholm conditions on non-compact manifolds: theory and examples
Catarina Carvalho, Victor Nistor, Yu Qiao
We give explicit Fredholm conditions for classes of pseudodifferential operators on suitable singular and non-compact spaces. In particular, we include a "user's guide" to Fredholm…