Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Crepant Transformation Conjecture for Toric Complete Intersections   Let X and Y be K-equivalent toric Deligne-Mumford stacks related by a single
toric wall-crossing. We prove the Crepant Transformation Conjecture in this
case, fully-equivariantly and in genus zero. That is, we show that the
equivariant quantum connections for X and Y become gauge-equivalent after
analytic continuation in quantum parameters. Furthermore we identify the gauge
transformation involved, which can be thought of as a linear symplectomorphism
between the Givental spaces for X and Y, with a Fourier-Mukai transformation
between the K-groups of X and Y, via an equivariant version of the
Gamma-integral structure on quantum cohomology. We prove similar results for
toric complete intersections. We impose only very weak geometric hypotheses on
X and Y: they can be non-compact, for example, and need not be weak Fano or
have Gorenstein coarse moduli space. Our main tools are the Mirror Theorems for
toric Deligne-Mumford stacks and toric complete intersections, and the
Mellin-Barnes method for analytic continuation of hypergeometric functions.

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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc