Universal first-order Massey product of a prefactorization algebra
S Bruinsma, A Schenkel, B Vicedo - Communications in Mathematical …, 2024 - Springer
This paper studies the universal first-order Massey product of a prefactorization algebra,
which encodes higher algebraic operations on the cohomology. Explicit computations of …
which encodes higher algebraic operations on the cohomology. Explicit computations of …
Box operads and higher Gerstenhaber brackets
HD Van, L Hermans, W Lowen - arXiv preprint arXiv:2305.20036, 2023 - arxiv.org
We introduce a symmetric operad $\square p $(" box-op") which describes a certain calculus
of rectangular labeled``boxes''. Algebras over $\square p $, which we call box operads, have …
of rectangular labeled``boxes''. Algebras over $\square p $, which we call box operads, have …
(Twisted) canonical supermultiplets and their resolutions as open-closed homotopy algebras
S Jonsson - arXiv preprint arXiv:2408.15102, 2024 - arxiv.org
We argue that some supersymmetric multiplets can naturally be equipped with the structure
of an open-closed homotopy algebra. This structure is readily described through the pure …
of an open-closed homotopy algebra. This structure is readily described through the pure …
Deformation maps of Quasi-twilled associative algebras
S Liu, A Makhlouf, L Song - arXiv preprint arXiv:2409.02651, 2024 - arxiv.org
In this paper, we introduce two types of deformation maps of quasi-twilled associative
algebras. Each type of deformation maps unify various operators on associative algebras …
algebras. Each type of deformation maps unify various operators on associative algebras …
Kaledin classes and formality criteria
C Emprin - arXiv preprint arXiv:2404.17529, 2024 - arxiv.org
We develop a general obstruction theory to the formality of algebraic structures over any
commutative ground ring. It relies on the construction of Kaledin obstruction classes that …
commutative ground ring. It relies on the construction of Kaledin obstruction classes that …
The Homotopy Class of twisted -morphisms
A Kraft, J Schnitzer - arXiv preprint arXiv:2102.10645, 2021 - arxiv.org
The global formality of Dolgushev depends on the choice of a torsion-free covariant
derivative. We prove that the globalized formalities with respect to two different covariant …
derivative. We prove that the globalized formalities with respect to two different covariant …
A Deligne conjecture for prestacks
R Campos, L Hermans - arXiv preprint arXiv:2406.16652, 2024 - arxiv.org
We prove an analog of the Deligne conjecture for prestacks. We show that given a prestack
$\mathbb A $, its Gerstenhaber--Schack complex $\mathbf {C} _ {\mathsf {GS}}(\mathbb A) …
$\mathbb A $, its Gerstenhaber--Schack complex $\mathbf {C} _ {\mathsf {GS}}(\mathbb A) …
Integration of the Baker-Campbell-Hausdorff product
M Fuentes - arXiv preprint arXiv:2405.12396, 2024 - arxiv.org
In an arbitrary complete differential graded Lie algebra, we construct a group operation
$\bullet $ on $ L_1 $ such that the differential of the product of two elements is the Baker …
$\bullet $ on $ L_1 $ such that the differential of the product of two elements is the Baker …
Maurer-Cartan methods in perturbative quantum mechanics
A Losev, T Sulimov - arXiv preprint arXiv:2401.17476, 2024 - arxiv.org
We reformulate the time-independent Schr\" odinger equation as a Maurer-Cartan equation
on the superspace of eigensystems of the former equation. We then twist the differential so …
on the superspace of eigensystems of the former equation. We then twist the differential so …
Deformation theory of cohomological field theories
V Dotsenko, S Shadrin, A Vaintrob… - Journal für die reine und …, 2024 - degruyter.com
We develop the deformation theory of cohomological field theories (in short, CohFTs), which
is done as a special case of a general deformation theory of morphisms of modular operads …
is done as a special case of a general deformation theory of morphisms of modular operads …