We establish faithfulness of braid group actions generated by twists along an ADE configuration of 2-spherical objects in a derived category. Our major tool is the Garside structure on braid groups of type ADE. This faithfulness result provides the missing ingredient in Bridgeland’s description of a space of stability conditions associated to a Kleinian singularity
Hurwitz showed that a branched cover f:M→N of surfaces with branch locus P⊂N determines and is deter...
We give a new proof of homological stability with the best known isomorphism range for mapping class...
Let Γ be a finite subgroup of SU2(ℂ). Then the quotient ℂ2/Γ can be embedded in ℂ3 as a surface with...
The aim of this thesis is to explain the construction of the ``spherical twists'' invented by P. Sei...
The aim of this thesis is to explain the construction of the ``spherical twists'' invented by P. Sei...
We prove that any “finite-type” component of a stability space of a triangulated category is contrac...
We describe presentations of braid groups of type ADE and show how these presentations are compatibl...
We show that if X is a smooth quasiprojective 3–fold admitting a flopping contraction, then the fund...
This paper gives a description of the full space of Bridgeland stability conditions on the bounded d...
We construct Bridgeland stability conditions on the derived category of smooth quasi-projective Deli...
We compute and explicitly describe the Bieri-Neumann-Strebel invariants $\Sigma^1$ for the full and ...
We associate to every positive braid a braid monodromy group, generalizing the geometric monodromy g...
Hurwitz showed that a branched cover f:M→N of surfaces with branch locus P⊂N determines and is deter...
The paper provides new examples of an explicit submanifold in Bridgeland stabilities space of a loc...
Hurwitz showed that a branched cover f:M→N of surfaces with branch locus P⊂N determines and is deter...
Hurwitz showed that a branched cover f:M→N of surfaces with branch locus P⊂N determines and is deter...
We give a new proof of homological stability with the best known isomorphism range for mapping class...
Let Γ be a finite subgroup of SU2(ℂ). Then the quotient ℂ2/Γ can be embedded in ℂ3 as a surface with...
The aim of this thesis is to explain the construction of the ``spherical twists'' invented by P. Sei...
The aim of this thesis is to explain the construction of the ``spherical twists'' invented by P. Sei...
We prove that any “finite-type” component of a stability space of a triangulated category is contrac...
We describe presentations of braid groups of type ADE and show how these presentations are compatibl...
We show that if X is a smooth quasiprojective 3–fold admitting a flopping contraction, then the fund...
This paper gives a description of the full space of Bridgeland stability conditions on the bounded d...
We construct Bridgeland stability conditions on the derived category of smooth quasi-projective Deli...
We compute and explicitly describe the Bieri-Neumann-Strebel invariants $\Sigma^1$ for the full and ...
We associate to every positive braid a braid monodromy group, generalizing the geometric monodromy g...
Hurwitz showed that a branched cover f:M→N of surfaces with branch locus P⊂N determines and is deter...
The paper provides new examples of an explicit submanifold in Bridgeland stabilities space of a loc...
Hurwitz showed that a branched cover f:M→N of surfaces with branch locus P⊂N determines and is deter...
Hurwitz showed that a branched cover f:M→N of surfaces with branch locus P⊂N determines and is deter...
We give a new proof of homological stability with the best known isomorphism range for mapping class...
Let Γ be a finite subgroup of SU2(ℂ). Then the quotient ℂ2/Γ can be embedded in ℂ3 as a surface with...
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