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math.AG2018
Symplectic quotients of unstable Morse strata for normsquares of moment maps
Frances Kirwan
Let K be a compact Lie group and fix an invariant inner product on its Lie algebra. Given a Hamiltonian action of K on a compact symplectic manifold X, the normsquare of the moment…
math.AG2018
Variation of Non-reductive Geometric Invariant Theory
Gergely Bérczi, Joshua Jackson, Frances Kirwan
The wall-and-chamber structure of the dependence of the reductive GIT quotient on the choice of linearisation is well known. In this article, we first give a brief survey of recent…