Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Gufang Zhao"'
Publikováno v:
Compositio Mathematica. 157:2341-2376
We compare the $K$-theory stable bases of the Springer resolution associated to different affine Weyl alcoves. We prove that (up to relabelling) the change of alcoves operators are given by the Demazure-Lusztig operators in the affine Hecke algebra.
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3edc03b86bc06a90835a38088a7a3589
https://doi.org/10.1112/s0010437x21007533
https://doi.org/10.1112/s0010437x21007533
Autor:
Gufang Zhao, Yaping Yang
Publikováno v:
Transformation Groups. 25:1371-1385
We prove that the Yangian associated to an untwisted symmetric affine Kac–Moody Lie algebra is isomorphic to the Drinfeld double of a shuffle algebra. The latter is constructed in [YZ14] as an algebraic formalism of cohomological Hall algebras. As
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https://explore.openaire.eu/search/publication?articleId=doi_________::00e42ef9fdd3bcf49f8fe9e2559b7ef2
https://doi.org/10.1007/s00031-020-09572-6
https://doi.org/10.1007/s00031-020-09572-6
Publikováno v:
Communications in Mathematical Physics. 376:1803-1873
We define an action of the (double of) Cohomological Hall algebra of Kontsevich and Soibelman on the cohomology of the moduli space of spiked instantons of Nekrasov. We identify this action with the one of the affine Yangian of $\mathfrak{gl}(1)$. Ba
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::257adecb443c12f188294cd9bcebec71
https://doi.org/10.1007/s00220-019-03575-5
https://doi.org/10.1007/s00220-019-03575-5
Autor:
Gufang Zhao, Yaping Yang
Publikováno v:
Proceedings of the London Mathematical Society. 116:1029-1074
We introduce for each quiver $Q$ and each algebraic oriented cohomology theory $A$, the cohomological Hall algebra (CoHA) of $Q$, as the $A$-homology of the moduli of representations of the preprojective algebra of $Q$. This generalizes the $K$-theor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e503893e2d05f59f1d16bb1f7d2cf6d9
https://doi.org/10.1112/plms.12111
https://doi.org/10.1112/plms.12111
Autor:
Gufang Zhao, Yaping Yang
Publikováno v:
Selecta Mathematica. 24:1093-1119
We study the preprojective cohomological Hall algebra (CoHA) introduced by the authors in an earlier work for any quiver $Q$ and any one-parameter formal group $\mathbb{G}$. In this paper, we construct a comultiplication on the CoHA, making it a bial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a0f57d7d4f94379f41b2d3daf081edb
https://doi.org/10.1007/s00029-017-0366-y
https://doi.org/10.1007/s00029-017-0366-y
Autor:
Yaping Yang, Gufang Zhao
Publikováno v:
2017 MATRIX Annals ISBN: 9783030041601
These lecture notes are based on Yang’s talk at the MATRIX program Geometric R-Matrices: from Geometry to Probability, at the University of Melbourne, Dec. 18–22, 2017, and Zhao’s talk at Perimeter Institute for Theoretical Physics in January 2
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https://explore.openaire.eu/search/publication?articleId=doi_________::c3ea92047d2704a883573884edd6f7d3
https://doi.org/10.1007/978-3-030-04161-8_54
https://doi.org/10.1007/978-3-030-04161-8_54
Autor:
Yaping Yang, Gufang Zhao
This paper aims at a geometric realization of the Yangian of non-simply laced type in terms of quiver with potentials. For every quiver with symmetrizer, there is an extended quiver with superpotential, whose Jacobian algebra is the generalized prepr
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e87e7b9f13b6891b7ca4807fe1806eb8
We define the algebraic elliptic cohomology theory coming from Krichever’s elliptic genus as an oriented cohomology theory on smooth varieties over an arbitrary perfect field. We show that in the algebraic cobordism ring with rational coefficients,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8960fcef70c2208662f2f820b8a9b66f
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85070330759
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85070330759
Cohomological and K-theoretic stable bases originated from the study of quantum cohomology and quantum K-theory. Restriction formula for cohomological stable bases played an important role in computing the quantum connection of cotangent bundle of pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d65839aa3d73ce63971443a37c482ad1