6 citations · 17 across the 7 of their papers we have counts for
4 papers · 1 filter
Mirror symmetry for parabolic Higgs bundles via -adic integration
Shiyu Shen
Applying the technique of -adic integration, we prove the topological mirror symmetry conjecture of Hausel-Thaddeus for the moduli spaces of (strongly) parabolic Higgs bundles f…
Complex K-theory of moduli spaces of Higgs bundles
Michael Groechenig, Shiyu Shen
We establish an isomorphism of complex -theory of the moduli space of -Higgs bundles of degree and rank (in the sense of Hausel--Thaddeus)…
Tamely ramified geometric Langlands correspondence in positive characteristic
Shiyu Shen
We prove a version of the tamely ramified geometric Langlands correspondence in positive characteristic for . Let be an algebraically closed field of characteristic $p…
On the Kirwan map for moduli of Higgs bundles
Emily Cliff, Thomas Nevins, Shiyu Shen
Let be a smooth complex projective curve and a connected complex reductive group. We prove that if the center of is disconnected, then the Kirwan map $H^*\big(\o…