T
Tom Bridgeland
Researcher at University of Sheffield
Publications - 70
Citations - 6386
Tom Bridgeland is an academic researcher from University of Sheffield. The author has contributed to research in topics: Coherent sheaf & Derived category. The author has an hindex of 32, co-authored 66 publications receiving 5744 citations. Previous affiliations of Tom Bridgeland include University of Oxford & University of Nebraska–Lincoln.
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Stability conditions on triangulated categories
TL;DR: In this paper, the authors introduce the notion of a stability condition on a triangulated category and prove a deformation result which shows that the space with its natural topology is a manifold, possibly infinite-dimensional.
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The McKay correspondence as an equivalence of derived categories
TL;DR: Gonzalez-Sprinberg and Verdier as discussed by the authors interpreted the McKay correspondence as an isomorphism on K theory, observing that the representation of G is equal to the G-equivariant K theory of C2.
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Stability conditions on triangulated categories
TL;DR: In this paper, the authors introduce the notion of a stability condition on a triangulated category and prove a deformation result which shows that the space with its natural topology is a manifold, possibly infinite-dimensional.
Journal ArticleDOI
Stability conditions on $K3$ surfaces
TL;DR: In this article, the authors describe a connected component of the space of stability conditions on the bounded derived category of coherent sheaves on a complex algebraic K3 surface. But their analysis is restricted to the case where the stable sheaves are coherent.
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Flops and derived categories
TL;DR: In this article, Fourier-Mukai techniques were applied to the Birational geometry of three-fold Calabi-Yau three-folds, and it was shown that flops arise naturally as moduli spaces of perverse coherent sheaves.