3 papers
math.SG2021
Symplectic reduction along a submanifold
Peter Crooks, Maxence Mayrand
We introduce the process of symplectic reduction along a submanifold as a uniform approach to taking quotients in symplectic geometry. This construction holds in the categories of…
math.AG2018
Kempf-Ness type theorems and Nahm equations
Maxence Mayrand
We prove a version of the affine Kempf-Ness theorem for non-algebraic symplectic structures and shifted moment maps, and use it to describe hyperkahler quotients of T*G, where G is…
math.DG2018
Stratification of singular hyperkahler quotients
Maxence Mayrand
Hyperkahler quotients by non-free actions are typically highly singular, but are remarkably still partitioned into smooth hyperkahler manifolds. We show that these partitions are t…