Hochschild cohomology and orbifold Jacobian algebras associated to invertible polynomials
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-equivar...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2020-08-12
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| In: |
Journal of noncommutative geometry
Year: 2020, Volume: 14, Issue: 3, Pages: 861-877 |
| ISSN: | 1661-6960 |
| DOI: | 10.4171/JNCG/370 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.4171/JNCG/370 Verlag, lizenzpflichtig, Volltext: https://publications.hse.ru/en/articles/247148703 
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| Author Notes: | Alexey Basalaev and Atsushi Takahashi |
| Summary: | 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. |
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| Item Description: | Gesehen am 14.06.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1661-6960 |
| DOI: | 10.4171/JNCG/370 |