Results 21 to 30 of about 5,500 (151)
A categorification of Morelli’s theorem [PDF]
Inventiones mathematicae, 2011 20 pages. This is a strengthened version of the first half of arXiv:0811.1228v3, with new results; the second half becomes arXiv:0811 ...
Fang, Bohan +3 more
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Interval Computations and Their Categorification [PDF]
Numerical Algorithms, 2004 By the example of the proof of Minkowski's conjecture on critical determinant we give a category theory framework for interval computation.
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Categorification of Dijkgraaf–Witten theory [PDF]
Advances in Theoretical and Mathematical Physics, 2017 28 pages; submitted version containing minor ...
Sharma, Amit, Voronov, Alexander A.
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Categorifications of the polynomial ring
Fundamenta Mathematicae, 2015 29 pages, 26 ...
Khovanov, Mikhail, Sazdanovic, Radmila
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Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras [PDF]
, 2009 We construct an explicit isomorphism between blocks of cyclotomic Hecke algebras and (sign-modified) Khovanov-Lauda algebras in type A. These isomorphisms connect the categorification conjecture of Khovanov and Lauda to Ariki's categorification theorem ...
A. Jucys +22 more
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Quivers for 3-manifolds: the correspondence, BPS states, and 3d N $$ \mathcal{N} $$ = 2 theories
Journal of High Energy Physics, 2020 We introduce and explore the relation between quivers and 3-manifolds with the topology of the knot complement. This idea can be viewed as an adaptation of the knots-quivers correspondence to Gukov-Manolescu invariants of knot complements (also known as ...
Piotr Kucharski
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, 2019 We construct a categorification of parabolic Verma modules for symmetrizable Kac-Moody algebras using KLR-like diagrammatic algebras. We show that our construction arises naturally from a dg-enhancement of the cyclotomic quotients of the KLR-algebras. As
Naisse, Grégoire, Vaz, Pedro
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Systems, 2019 The Müller-Wichards model (MW) is an algebraic method that quantitatively estimates the performance of sequential and/or parallel computer applications.
Allen D. Parks, David J. Marchette
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A Categorification for the Signed Chromatic Polynomial
The Electronic Journal of Combinatorics, 2022 By coloring a signed graph by signed colors, one obtains the signed chromatic polynomial of the signed graph. For each signed graph we construct graded cohomology groups whose graded Euler characteristic yields the signed chromatic polynomial of the signed graph.
Zhiyun Cheng +3 more
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Towers of graded superalgebras categorify the twisted Heisenberg double [PDF]
, 2015 We show that the Grothendieck groups of the categories of finitely-generated graded supermodules and finitely-generated projective graded supermodules over a tower of graded superalgebras satisfying certain natural conditions give rise to twisted Hopf ...
Rosso, Daniele, Savage, Alistair
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