15 citations · 183 across the 38 of their papers we have counts for
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math.SG2013★ 7 cited
An impossibility theorem for linear symplectic circle quotients
Hans-Christian Herbig, Christopher Seaton
We prove that when , a -dimensional symplectic quotient at the zero level of a unitary circle representation such that $V^{\Sp^1}=\{0\}$ cannot be -graded regularly…
math.SG2013★ 15 cited
The Hilbert series of a linear symplectic circle quotient
Hans-Christian Herbig, Christopher Seaton
We compute the Hilbert series of the graded algebra of regular functions on a symplectic quotient of a unitary circle representation. Additionally, we elaborate explicit formulas f…