Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relations between derived Hochschild functors via twisting   Let $k$ be a regular ring, and let $A,B$ be essentially finite type
$k$-algebras. For any functor $F:{D}(A)\times\dots\times{D}(A)\to{D}(B)$
between their derived categories, we define its twist
$F^{!}:{D}(A)\times\dots\times{D}(A)\to{D}(B)$ with respect to dualizing
complexes, generalizing Grothendieck's construction of $f^{!}$. We show that
relations between functors are preserved between their twists, and deduce that
various relations hold between derived Hochschild (co)-homology and the $f^{!}$
functor. We also deduce that the set of isomorphism classes of dualizing
complexes over a ring (or a scheme) form a group with respect to derived
Hochschild cohomology, and that the twisted inverse image functor is a group
homomorphism.

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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th