Framed E2 structures in Floer theory
M Abouzaid, Y Groman, U Varolgunes - Advances in Mathematics, 2024 - Elsevier
We resolve the long-standing problem of constructing the action of the operad of framed
(stable) genus-0 curves on Hamiltonian Floer theory; this operad is equivalent to the framed …
(stable) genus-0 curves on Hamiltonian Floer theory; this operad is equivalent to the framed …
Weight structures and formality
C Emprin, G Horel - arXiv preprint arXiv:2406.19142, 2024 - arxiv.org
This is a survey on formality results relying on weight structures. A weight structure is a
naturally occurring grading on certain differential graded algebras. If this weight satisfies a …
naturally occurring grading on certain differential graded algebras. If this weight satisfies a …
E2 formality via obstruction theory
G Horel - arXiv preprint arXiv:2407.16236, 2024 - arxiv.org
We attack the question of E_2-formality of differential graded algebras over prime fields via
obstruction theory. We are able to prove that E_2-algebras whose cohomology ring is a …
obstruction theory. We are able to prove that E_2-algebras whose cohomology ring is a …
[HTML][HTML] Weight decompositions on algebraic models for mapping spaces and homotopy automorphisms
J Cirici, B Saleh - Mediterranean Journal of Mathematics, 2024 - Springer
We obtain restrictions on the rational homotopy types of mapping spaces and of classifying
spaces of homotopy automorphisms by means of the theory of positive weight …
spaces of homotopy automorphisms by means of the theory of positive weight …
Corrigendum: Étale cohomology, purity and formality with torsion coefficients: (J. Topol. 15 (2022), no. 4, 2270–2297)
Corrigendum: Étale cohomology, purity and formality with torsion coefficients - Cirici - 2024 -
Journal of Topology - Wiley Online Library Skip to Article Content Skip to Article Information …
Journal of Topology - Wiley Online Library Skip to Article Content Skip to Article Information …
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 …