Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability conditions for Slodowy slices and real variations of stability   We provide examples of an explicit submanifold in Bridgeland stabilities
space of a local Calabi-Yau, and propose a new variant of definition of
stabilities on a triangulated category, which we call a "real variation of
stability conditions". We discuss its relation to Bridgeland's definition; the
main theorem provides an illustration of such a relation. We also state a
conjecture by the second author and Okounkov relating this structure to quantum
cohomology of symplectic resolutions and establish its validity in some special
cases.
  More precisely, let X be the standard resolution of a transversal slice to an
adjoint nilpotent orbit of a simple Lie algebra over C. An action of the affine
braid group on the derived category of coherent sheaves on X and a collection
of t-structures on this category permuted by the action have been constructed
in arXiv:1101.3702 and arXiv:1001.2562 respectively. In this note we show that
the t-structures come from points in a certain connected submanifold in the
space of Bridgeland stability conditions.
  The submanifold is a covering of a submanifold in the dual space to the
Grothendieck group, and the affine braid group acts by deck transformations. In
the special case when dim (X)=2 a similar (in fact, stronger) result was
obtained in arXiv:math/0508257.

18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga