18 citations · 72 across the 32 of their papers we have counts for
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math.GT2022★ 1 cited
Signature for flat unitary bundles over surfaces with boundary
Inkang Kim, Pierre Pansu, Xueyuan Wan
This paper deals with the representations of the fundamental groups of compact surfaces with boundary into classical simple Lie groups of Hermitian type. We relate work on the sign…
math.GT2021★ 1 cited
Signature, Toledo invariant and surface group representations in the real symplectic group
Inkang Kim, Pierre Pansu, Xueyuan Wan
In this paper, by using Atiyah-Patodi-Singer index theorem, we obtain a formula for the signature of a flat symplectic vector bundle over a surface with boundary, which is related…
math.GT2019
New Kähler metric on quasifuchsian space and its curvature properties
Inkang Kim, Xueyuan Wan, Genkai Zhang
Let be the quasifuchsian space of a closed surface of genus . We construct a new mapping class group invariant Kähler metric on . It is an extension of…