5 papers
On the monodromy and spin parity of single-cylinder origamis in the minimal stratum
Tarik Aougab, Adam Friedman-Brown, Luke Jeffreys +1
In a paper with Menasco-Nieland, the first author constructed factorially many origamis in the minimal stratum of the moduli space of translation surfaces having simultaneously a s…
Exact Lagrangian fillability of 3-braid closures
James Hughes, Jiajie Ma
We determine when a Legendrian quasipositive 3-braid closure in standard contact admits an orientable or non-orientable exact Lagrangian filling. Our main result pro…
Theta correspondence and Springer correspondence
Jia-Jun Ma, Congling Qiu, Zhiwei Yun +1
In this paper, we obtain an explicit formula for the theta correspondence of unipotent principal-series representations between an even orthogonal and a symplectic group or between…
Weak unipotence and Langlands duality
Jia-jun Ma, Shilin Yu
Weak unipotence of primitive ideals is a crucial property in the study of unitary representations of reductive groups. We establish a sufficient condition, referred to as mild unip…
Weak Relative Calabi-Yau Structures for Legendrian Contact Homology
Jiajie Ma, Joshua M. Sabloff
Legendrian Contact Homology (LCH) and its augmentations are important invariants of Legendrian submanifolds, and for Legendrian knots in the standard contact 3-space in particular.…