21 citations · 86 across the 9 of their papers we have counts for
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math.SG2015★ 2 cited
Contraction of Hamiltonian -spaces
Joachim Hilgert, Christopher Manon, Johan Martens
In the spirit of recent work of Harada-Kaveh and Nishinou-Nohara-Ueda, we study the symplectic geometry of Popov's horospherical degenerations of complex algebraic varieties with t…
math.SG2012★ 6 cited
On Non-Abelian Symplectic Cutting
Johan Martens, Michael Thaddeus
We discuss symplectic cutting for Hamiltonian actions of non-Abelian compact groups. By using a degeneration based on the Vinberg monoid we give, in good cases, a global quotient d…
math.SG2006★ 10 cited
Equivariant volumes of non-compact quotients and instanton counting
Johan Martens
Motivated by Nekrasov's instanton counting, we discuss a method for calculating equivariant volumes of non-compact quotients in symplectic and hyper-Kähler geometry by means of the…