Hochschild cohomology and orbifold Jacobian algebras associated to invertible polynomials

• Verfasst von: Basalaev, Alexey [VerfasserIn]
• Verfasst von: Takahashi, Atsushi [VerfasserIn]
• Titel: Hochschild cohomology and orbifold Jacobian algebras associated to invertible polynomials
• Verf.angabe: Alexey Basalaev and Atsushi Takahashi
• E-Jahr: 2020
• Jahr: 2020-08-12
• Umfang: 17 S.
• Teil: volume:14
• Teil: year:2020
• Teil: number:3
• Teil: pages:861-877
• Teil: extent:17
• Fussnoten: Gesehen am 14.06.2021
• Titel Quelle: Enthalten in: Journal of noncommutative geometry
• Ort Quelle: Zurich : EMS Publ., 2007
• Jahr Quelle: 2020
• Band/Heft Quelle: 14(2020), 3, Seite 861-877
• ISSN Quelle: 1661-6960
• DOI: doi:10.4171/JNCG/370
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1760386057

Abstract

Let f be an invertible polynomial and G a group of diagonal symmetries - of f . This note shows that the orbifold Jacobian algebra Jac(f, G) of (f, G) defined - by [BTW16] is isomorphic as a Z/2Z-graded algebra to the Hochschild cohomology - HH ∗ (MF G (f )) of the dg-category MF G (f ) of G-equivariant matrix factorizations of f - by calculating the product formula of HH ∗ (MF G (f )) given by Shklyarov [S17]. We also - discuss the relation of our previous results to the categorical equivalence.