Abstract
We apply Weyl đ-algebras to prove formality theorems for higher Hochschild cohomology. We present two approaches: via propagators and via the factorization complex. It is shown that the second approach is equivalent to the first one taken with a new family of propagators we introduce.
Funding statement: The study has been funded within the framework of the HSE University Basic Research Program and the Russian Academic Excellence Project â5-100â.
Acknowledgements
I am grateful to D. Calaque, V. Dotsenko, B. Feigin, A. Khoroshkin, S. Merkulov, B. Shoikhet, D. Tamarkin and A. Voronov for fruitful discussions. I thank the referee for useful recommendations and for pointing out many relevant references.
Communicated by: Frederick R. Cohen
References
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© 2021 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Lower bounds for regular genus and gem-complexity of PL 4-manifolds with boundary
- Free cyclic group actions on highly-connected 2n-manifolds
- The distinction problems for Sp4 and SO3,3
- Affine cones over cubic surfaces are flexible in codimension one
- Permutations of zero-sumsets in a finite vector space
- On the finiteness of solutions for polynomial-factorial Diophantine equations
- Galois action on Fuchsian surface groups and their solenoids
- On a Lévy process pinned at random time
- BorsukâUlam theorem for filtered spaces
- A non-commutative differential module approach to Alexander modules
- Generalized fractal dimensions of invariant measures of full-shift systems over compact and perfect spaces: generic behavior
- Quantum modularity of partial theta series with periodic coefficients
- Lyapunov-type inequalities for partial differential equations with đ-Laplacian
- Zeros of GL2 đż-functions on the critical line
- Weighted boundedness of multilinear CalderĂłn commutators
- Two characterizations of central BMO space via the commutators of Hardy operators
- Weyl đ-algebras and the Swiss cheese operad
- Syzygies in equivariant cohomology in positive characteristic
- Epsilon factors of symplectic type characters in the wild case
Artikel in diesem Heft
- Frontmatter
- Lower bounds for regular genus and gem-complexity of PL 4-manifolds with boundary
- Free cyclic group actions on highly-connected 2n-manifolds
- The distinction problems for Sp4 and SO3,3
- Affine cones over cubic surfaces are flexible in codimension one
- Permutations of zero-sumsets in a finite vector space
- On the finiteness of solutions for polynomial-factorial Diophantine equations
- Galois action on Fuchsian surface groups and their solenoids
- On a Lévy process pinned at random time
- BorsukâUlam theorem for filtered spaces
- A non-commutative differential module approach to Alexander modules
- Generalized fractal dimensions of invariant measures of full-shift systems over compact and perfect spaces: generic behavior
- Quantum modularity of partial theta series with periodic coefficients
- Lyapunov-type inequalities for partial differential equations with đ-Laplacian
- Zeros of GL2 đż-functions on the critical line
- Weighted boundedness of multilinear CalderĂłn commutators
- Two characterizations of central BMO space via the commutators of Hardy operators
- Weyl đ-algebras and the Swiss cheese operad
- Syzygies in equivariant cohomology in positive characteristic
- Epsilon factors of symplectic type characters in the wild case