5 papers
Multiplicativity of the perverse filtration in the case
Xueqing Wen
We prove that the perverse filtration of the canonical Hitchin system is multiplicative when the rank and degree are coprime. Over the elliptic locus of an even-deg…
Spaltenstein Varieties Associated with Pseudo-Polarizations
Xueqing Wen, Yaoxiong Wen
We introduce minimal Richardson orbits and pseudo-polarizations for nilpotent orbits in classical Lie algebras of types B, C, and D. For any nilpotent orbit, we classify all minima…
Minimal reduction type in classical cases
Bin Wang, Xueqing Wen, Yaoxiong Wen
We prove Yun's minimal reduction conjecture for all classical groups. More precisely, for any topologically nilpotent regular semisimple element , we show that the associated mi…
On the generic fibers and true base of parabolic -Hitchin systems
Bin Wang, Xueqing Wen, Yaoxiong Wen
In this paper, we confirm a physical conjecture regarding the parabolic -Hitchin system, showing that Hitchin map factors through a finite cover of the Hitchin ba…
Springer correspondence and mirror symmetries for parabolic Hitchin systems
Bin Wang, Xueqing Wen, Yaoxiong Wen
We prove the Strominger--Yau--Zaslow and topological mirror symmetries for parabolic Hitchin systems of types B and C. In contrast to type A, a geometric reinterpretation of Spring…