5 papers · 1 filter
A topological Chern character for matrix factorizations
Mark Shoemaker
For a quasi-projective complex variety and a regular function, we construct a Chern character from the Grothendieck group of the category of matrix f…
Towards a mirror theorem for GLSMs
Mark Shoemaker
We propose a method for computing generating functions of genus-zero invariants of a gauged linear sigma model . We show that certain derivatives of -functions of…
Quantum spectrum and Gamma structure for standard flips
Yefeng Shen, Mark Shoemaker
We investigate the quantum spectrum and Gamma structure for projective bundles, blow-ups, and standard flips. After restricting the quantum multiplication to the exceptional curve…
Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops
Nathan Priddis, Mark Shoemaker, Yaoxiong Wen
We prove the crepant transformation conjecture for relative Grassmann flops over a smooth base . We show that the -functions of the respective GIT quotients are related by an…
A Kleiman criterion for GIT stack quotients
Mark Shoemaker
Kleiman's criterion states that, for a projective scheme, a divisor is ample if and only if it pairs positively with every non-zero element of the closure of the cone of cu…