Search Results - "Beliakova, Anna"

Trace as an Alternative Decategorification Functor by Beliakova, Anna, Guliyev, Zaur, Habiro, Kazuo, Lauda, Aaron D.

“…Categorification is a process of lifting structures to a higher categorical level. The original structure can then be recovered by means of the so-called…”
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Trace decategorification of categorified quantum $$\mathfrak {sl}_2$$ sl 2 by Beliakova, Anna, Habiro, Kazuo, Lauda, Aaron D., Živković, Marko

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Cyclotomic expansions for $$\mathfrak {gl}_N$$ link invariants via interpolation Macdonald polynomials by Beliakova, Anna, Gorsky, Eugene

“…In this paper we construct a new basis for the cyclotomic completion of the center of the quantum $$\mathfrak {gl}_N$$ gl N in terms of the interpolation…”
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Cyclotomic expansions for glN link invariants via interpolation Macdonald polynomials by Beliakova, Anna, Gorsky, Eugene

“…In this paper we construct a new basis for the cyclotomic completion of the center of the quantum gl N in terms of the interpolation Macdonald polynomials…”
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Kerler–Lyubashenko Functors on 4-Dimensional 2-Handlebodies by Beliakova, Anna, De Renzi, Marco

“…Abstract We construct a braided monoidal functor $J_4$ from Bobtcheva and Piergallini’s category $4\textrm {HB}$ of connected 4-dimensional 2-handlebodies (up…”
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Correction to: Kerler–Lyubashenko Functors on 4-Dimensional 2-Handlebodies by Beliakova, Anna, De Renzi, Marco

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Quantum link homology via trace functor I by Beliakova, Anna, Putyra, Krzysztof K., Wehrli, Stephan M.

“…Motivated by topology, we develop a general theory of traces and shadows for an endobicategory, which is a pair: bicategory and endobifunctor . For a graded…”
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Abelian TQFTS and Schrödinger local systems by Andreev, Aleksei, Beliakova, Anna, Blanchet, Christian

“…In this paper, we construct an action of 3-cobordisms on the finite dimensional Schrödinger representations of the Heisenberg group by Lagrangian…”
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Modified trace is a symmetrised integral by Beliakova, Anna, Blanchet, Christian, Gainutdinov, Azat M.

“…A modified trace for a finite k -linear pivotal category is a family of linear forms on endomorphism spaces of projective objects which has cyclicity and…”
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Logarithmic Hennings invariants for restricted quantum sl(2) by Beliakova, Anna, Blanchet, Christian, Geer, Nathan

“…We construct a Hennings type logarithmic invariant for restricted quantum sl(2) at a 2p-th root of unity. This quantum group U is not braided, but…”
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Current algebras and categorified quantum groups by Beliakova, Anna, Habiro, Kazuo, Lauda, Aaron D., Webster, Ben

“…We identify the trace, or zeroth Hochschild homology, of categorified quantum groups of ADE type with the corresponding current algebra of the same type. To…”
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On the functoriality of 2 tangle homology by Beliakova, Anna, Hogancamp, Matthew, Putyra, Krzysztof K, Wehrli, Stephan M

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Trace decategorification of categorified quantum sl2 by Beliakova, Anna, Habiro, Kazuo, Lauda, Aaron D., Živković, Marko

“…The trace or the 0th Hochschild–Mitchell homology of a linear category C may be regarded as a kind of decategorification of C . We compute the traces of the…”
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A Categorification of the Ribbon Element in Quantum sl(2) by Beliakova, Anna, Habiro, Kazuo

“…We define a bicomplex whose Euler characteristic is the idempotented version of the ribbon element of quantum s l (2). We show that properties of this…”
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Cyclicity for categorified quantum groups by Beliakova, Anna, Habiro, Kazuo, Lauda, Aaron D., Webster, Ben

“…We equip the categorified quantum group attached to a KLR algebra and an arbitrary choice of scalars with duality functor which is cyclic, that is, such that…”
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Logarithmic Hennings invariants for restricted quantum (2) by Beliakova, Anna, Blanchet, Christian, Geer, Nathan

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Trace decategorification of categorified quantum sl 2 by Beliakova, Anna, Habiro, Kazuo, Lauda, Aaron D, Živković, Marko

“…The trace or the 0th Hochschild–Mitchell homology of a linear category C may be regarded as a kind of decategorification of C . We compute the traces of the…”
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Categorified quantum sl2 is an inverse limit of flag 2-categories by Beliakova, Anna, Lauda, Aaron D.

“…We prove that categorified quantum sl 2 is an inverse limit of Flag 2-categories defined using cohomology rings of iterated flag varieties. This inverse limit…”
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A categorification of the Casimir of quantum sl(2) by Beliakova, Anna, Khovanov, Mikhail, Lauda, Aaron D.

“…We categorify the Casimir element of the idempotented form of quantum sl(2)…”
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A unified quantum SO(3) invariant for rational homology 3-spheres by Beliakova, Anna, Bühler, Irmgard, Le, Thang

“…Given a rational homology 3-sphere M with | H 1 ( M ,ℤ)|= b and a link L inside  M , colored by odd numbers, we construct a unified invariant I M , L belonging…”
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