☆ 4.0 Article

McKay correspondence, cohomological Hall algebras and categorification

Representation Theory (2023)

Related references

Note: Only part of the references are listed.

Article Mathematics, Applied

Two-dimensional categorified Hall algebras

Mauro Porta et al.

Summary: In this paper, two-dimensional categorified Hall algebras of smooth curves and smooth surfaces are introduced. The Hall algebras are associative monoidal structures on the stable infinity-category of complexes of sheaves with bounded coherent cohomology on a derived moduli stack. The construction categorifies the K-theoretical and cohomological Hall algebras of coherent sheaves on a surface and three categorified Hall algebras associated with derived enhancements of the moduli stack of Higgs sheaves on a curve, vector bundles with flat connections on a curve, and finite-dimensional local systems on a curve.

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY (2023)

Add to Collection

Article Mathematics, Applied

K-theoretic Hall algebras, quantum groups and super quantum groups

M. Varagnolo et al.

Summary: In this paper, we prove that the K-theoretic Hall algebra of an affine preprojective algebra is isomorphic to the positive half of a quantum toroidal quantum group. We also compare super toroidal quantum groups of type A with some recently introduced K-theoretic Hall algebras of quivers with potential. The proof involves both a deformation of the K-theoretic Hall algebra and a dimensional reduction to compare the KHA of preprojective algebras with the K-theoretic Hall algebras of quivers with potential.

SELECTA MATHEMATICA-NEW SERIES (2022)

Add to Collection

Article Mathematics

On cohomological Hall algebras of quivers: Generators

Olivier Schiffmann et al.

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK (2020)

Add to Collection

Article Mathematics, Applied

On two cohomological Hall algebras

Yaping Yang et al.

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS (2020)

Add to Collection

Article Mathematics

Cohomological Donaldson-Thomas theory of a quiver with potential and quantum enveloping algebras

Ben Davison et al.

INVENTIONES MATHEMATICAE (2020)

Add to Collection

Article Mathematics, Applied

Homotopy finiteness of some DG categories from algebraic geometry

Alexander Efimov

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY (2020)

Add to Collection

Article Mathematics

ON THE NUMBER OF POINTS OF NILPOTENT QUIVER VARIETIES OVER FINITE FIELDS

Tristan Bozec et al.

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE (2020)

Add to Collection

Article Mathematics

Cohomological Hall algebra of Higgs sheaves on a curve

Francesco Sala et al.

ALGEBRAIC GEOMETRY (2020)

Add to Collection

Article Mathematics

TILTING CHAINS OF NEGATIVE CURVES ON RATIONAL SURFACES

Lutz Hille et al.

NAGOYA MATHEMATICAL JOURNAL (2019)

Add to Collection

Article Mathematics

Tilting Theoretical Approach to Moduli Spaces Over Preprojective Algebras

Yuhi Sekiya et al.

ALGEBRAS AND REPRESENTATION THEORY (2013)

Add to Collection

Article Mathematics

Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson–Thomas invariants

Maxim Kontsevich et al.

Communications in Number Theory and Physics (2013)

Add to Collection

Article Mathematics

Perverse coherent sheaves and Fourier-Mukai transforms on surfaces, I

Koeta Yoshioka

KYOTO JOURNAL OF MATHEMATICS (2013)

Add to Collection

Article Mathematics

DERIVED CATEGORIES OF SMALl TORIC CALABI-YAU 3-FOLDS AND CURVE COUNTING INVARIANTS

Kentaro Nagao

QUARTERLY JOURNAL OF MATHEMATICS (2012)

Add to Collection

Article Mathematics

Counting Invariant of Perverse Coherent Sheaves and its Wall-crossing

Kentaro Nagao et al.

INTERNATIONAL MATHEMATICS RESEARCH NOTICES (2011)

Add to Collection

Article Mathematics

The GL(2, C) McKay correspondence

Michael Wemyss

MATHEMATISCHE ANNALEN (2011)

Add to Collection

Article Mathematics

Double Hall algebras and derived equivalences

Tim Cramer

ADVANCES IN MATHEMATICS (2010)

Add to Collection

Article Mathematics

Moduli of objects in dg-categories

Bertrand Toen et al.

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE (2007)

Add to Collection

Article Mathematics

Three-dimensional flops and noncommutative rings

M Van den Bergh

DUKE MATHEMATICAL JOURNAL (2004)

Add to Collection

Article Mathematics

Kleinian singularities, derived categories and Hall algebras

M Kapranov et al.

MATHEMATISCHE ANNALEN (2000)

Add to Collection

© Peeref 2019-2024. All rights reserved.