scholarly journals $A_{\infty}$-coderivations and the Gerstenhaber bracket on Hochschild cohomology

2020 ◽  
Vol 14 (2) ◽  
pp. 531-565
Author(s):  
Cris Negron ◽  
Yury Volkov ◽  
Sarah Witherspoon
Keyword(s):  
Hochschild Cohomology ◽  
Gerstenhaber Bracket

scholarly journals Gerstenhaber Bracket on the Hochschild Cohomology via An Arbitrary Resolution

2019 ◽  
Vol 62 (3) ◽  
pp. 817-836 ◽  
Author(s):  
Yury Volkov
Keyword(s):  
Hochschild Cohomology ◽  
Short Proof ◽  
Hochschild Homology ◽  
Full Description ◽  
Algebra Structure ◽  
Bimodule Resolution ◽  
Symmetric Algebras ◽  
Gerstenhaber Algebra ◽  
Different Types ◽  
Gerstenhaber Bracket

AbstractWe prove formulas of different types that allow us to calculate the Gerstenhaber bracket on the Hochschild cohomology of an algebra using some arbitrary projective bimodule resolution for it. Using one of these formulas, we give a new short proof of the derived invariance of the Gerstenhaber algebra structure on Hochschild cohomology. We also give some new formulas for the Connes differential on the Hochschild homology that lead to formulas for the Batalin–Vilkovisky (BV) differential on the Hochschild cohomology in the case of symmetric algebras. Finally, we use one of the obtained formulas to provide a full description of the BV structure and, correspondingly, the Gerstenhaber algebra structure on the Hochschild cohomology of a class of symmetric algebras.

scholarly journals The Gerstenhaber structure on the Hochschild cohomology of a class of special biserial algebras

2021 ◽  
Vol 580 ◽  
pp. 264-298
Author(s):  
Joanna Meinel ◽  
Van C. Nguyen ◽  
Bregje Pauwels ◽  
María Julia Redondo ◽  
Andrea Solotar
Keyword(s):  
Hochschild Cohomology ◽  
Special Biserial Algebras

scholarly journals Going from cohomology to Hochschild cohomology

2005 ◽  
Vol 288 (2) ◽  
pp. 263-278 ◽  
Author(s):  
Emil Sköldberg
Keyword(s):  
Hochschild Cohomology

scholarly journals Gerstenhaber brackets on Hochschild cohomology of twisted tensor products

2017 ◽  
Vol 11 (4) ◽  
pp. 1351-1379 ◽  
Author(s):  
Lauren Grimley ◽  
Van Nguyen ◽  
Sarah Witherspoon
Keyword(s):  
Hochschild Cohomology ◽  
Tensor Products

scholarly journals On Hochschild Cohomology of Preprojective Algebras, I

1998 ◽  
Vol 205 (2) ◽  
pp. 391-412 ◽  
Author(s):  
Karin Erdmann ◽  
Nicole Snashall
Keyword(s):  
Hochschild Cohomology ◽  
Preprojective Algebras
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