Donaldson–Thomas invariants and flops

The Donaldson-thomas Invariants under Blowups and Flops

Using the degeneration formula for Doanldson-Thomas invariants, we proved formulae for blowing up a point and simple flops.

Flops, Type Iii Contractions and Gromov–witten Invariants on Calabi–yau Threefolds

Equivalences and Stratified Flops

We construct natural equivalences between derived categories of coherent sheaves on the local models for stratified Mukai or Atiyah flops (of type A).

Threefold Flops via Matrixfactorization

The explicit McKay correspondence, as formulated by GonzalezSprinberg and Verdier, associates to each exceptional divisor in the minimal resolution of a rational double point, a matrix factorization of the equation of the rational double point. We study deformations of these matrix factorizations, and show that they exist over an appropriate “partially resolved” deformation space for rational d...

Sociobiology Flops Again

Article: It is difficult to take seriously something that states flatly that "physical and psychological characteristics can hardly be modified voluntarily," especially during the Olympic Games, which began shortly after Perusse's preprint was circulated for commentary. As people vie for status, we witness menarche delayed by starvation and tortuous exercise or muscle mass grossly exaggerated b...