1 - 7 of 7 articles
We construct an example of an 𝐴 ∞ algebra structure defined over a finite dimensional graded vector space.
Let 𝐺 × τ 𝐺′ be the principal twisted Cartesian product with fibre 𝐺, base 𝐺 and twisting function where 𝐺 and 𝐺′ are simplicial groups as well as 𝐺 × τ 𝐺′; and 𝐶 𝑁 (𝐺) ⊗ 𝑡 𝐶 𝑁 (𝐺′) be the twisted tensor product associated to 𝐶 𝑁 (𝐺 × τ 𝐺′) by the twisted Eilenberg–Zilber theorem. Here we prove...
We describe a conjecture on the algebra of higher cohomology operations which leads to the computations of the differentials in the Adams spectral sequence. For this we introduce the notion of an 𝑛-th order track category suitable for studying higher order Toda brackets and the differentials in...
The computer program Kenzo is used to study complex 𝐴 ∞ -structures coming from iterated loop spaces. The methods of constructive algebraic topology , due to the authors, do produce chain complexes of finite type and chain equivalences with the Hopf algebras canonically associated to the loop...
We prove that any category of props in a symmetric monoidal model category inherits a model structure. We devote an appendix, about half the size of the paper, to the proof of the model category axioms in a general setting. We need the general argument to address the case of props in topological...
We relate a construction of Kadeishvili's establishing an 𝐴 ∞ -structure on the homology of a differential graded algebra or, more generally, of an 𝐴 ∞ -algebra with certain constructions of Chen and Gugenheim. Thereafter we establish the links of these constructions with subsequent developments.
Early in the history of higher homotopy algebra Stasheff, Trans. Am. Math. Soc. 108: 293–312, 1963, it was realized that Massey products are homotopy invariants in a special sense, but it was the work of Tornike Kadeishvili that showed they were but a shadow of an 𝐴 ∞ -structure on the homology...
Read and print from thousands of top scholarly journals.
Continue with Facebook
Sign up with Google
Log in with Microsoft
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Sign Up Log In
To subscribe to email alerts, please log in first, or sign up for a DeepDyve account if you don’t already have one.
To get new article updates from a journal on your personalized homepage, please log in first, or sign up for a DeepDyve account if you don’t already have one.