25 citations · 40 across the 5 of their papers we have counts for
4 papers · 1 filter
-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…
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…
Mirror symmetry and actions of braid groups on derived categories
R. P. Thomas
Talk given at Harvard, January 1999, published in the Proceedings of the Harvard Winter School on mirror symmetry, vector bundles and lagrangian cycles, 1999, International Press.…
Braid group actions on derived categories of coherent sheaves
Paul Seidel, R. P. Thomas
This paper gives a construction of braid group actions on the derived category of coherent sheaves on a variety . The motivation for this is Kontsevich's homological mirror conj…