25 citations · 40 across the 5 of their papers we have counts for
9 papers
-objects and autoequivalences of derived categories
D. Huybrechts, R. P. Thomas
We describe new autoequivalences of derived categories of coherent sheaves arising from what we call -objects of the category. Standard examples arise from holomorphic…
An obstruction to the existence of constant scalar curvature Kähler metrics
J. Ross, R. P. Thomas
We prove that polarised manifolds that admit a constant scalar curvature Kähler (cscK) metric satisfy a condition we call slope semistability. That is, we define the slope for…
Symplectic surgeries from singularities
I. Smith, R. P. Thomas
We describe a variety of symplectic surgeries (not a priori compatible with Kahler structures) which are obtained by combining local Kahler degenerations and resolutions of singula…
Nodes and the Hodge conjecture
R. P. Thomas
The Hodge conjecture is shown to be equivalent to a question about the homology of very ample divisors with ordinary double point singularities. The infinitesimal version of the re…
Symplectic conifold transitions
I. Smith, R. P. Thomas, S. -T. Yau
We introduce a symplectic surgery in six dimensions which collapses Lagrangian three-spheres and replaces them by symplectic two-spheres. Under mirror symmetry it corresponds to an…
Moment maps, monodromy and mirror manifolds
R. P. Thomas
Via considerations of symplectic reduction, monodromy, mirror symmetry and Chern-Simons functionals, a conjecture is proposed on the existence of special Lagrangians in the hamilto…