Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Felix Wierstra"'
Autor:
Felix Wierstra
Publikováno v:
Algebraic & Geometric Topology. 20:2905-2956
The classical Hopf invariant is an invariant of homotopy classes of maps from S4n−1 to S2n, and is an important invariant in homotopy theory. The goal of this paper is to use the Koszul duality theory for ℰn–operads to define a generalization o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d3fc0992c30f1c0948094408eaddffd
https://doi.org/10.2140/agt.2020.20.2905
https://doi.org/10.2140/agt.2020.20.2905
Autor:
Niek de Kleijn, Felix Wierstra
Publikováno v:
Journal of Homotopy and Related Structures, 16(4), 605-633. Springer Science + Business Media
Journal of Homotopy and Related Structures volume
Journal of Homotopy and Related Structures, 16(4)
Journal of Homotopy and Related Structures volume
Journal of Homotopy and Related Structures, 16(4)
In this paper, we develop the $$A_\infty $$ A ∞ -analog of the Maurer-Cartan simplicial set associated to an $$L_\infty $$ L ∞ -algebra and show how we can use this to study the deformation theory of $$\infty $$ ∞ -morphisms of algebras over no
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53c097a58d0270811bb0a6b22963b4b4
https://dare.uva.nl/personal/pure/en/publications/on-the-maurercartan-simplicial-set-of-a-complete-curved-aalgebra(2589e346-c5bf-4bc4-8516-f72ca6dc6d01).html
https://dare.uva.nl/personal/pure/en/publications/on-the-maurercartan-simplicial-set-of-a-complete-curved-aalgebra(2589e346-c5bf-4bc4-8516-f72ca6dc6d01).html
Autor:
Daniel Robert-Nicoud, Felix Wierstra
Publikováno v:
Homology, Homotopy and Applications. 21:351-373
Given a coalgebra C over a cooperad, and an algebra A over an operad, it is often possible to define a natural homotopy Lie algebra structure on hom(C,A), the space of linear maps between them, called the convolution algebra of C and A. In the presen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d7ae40e06ecba4b6ad545fc79a313a8
https://doi.org/10.4310/hha.2019.v21.n1.a17
https://doi.org/10.4310/hha.2019.v21.n1.a17
Publikováno v:
Algebraic and Geometric Topology, 21(3), 1535-1552. Agriculture.gr
Algebraic & Geometric Topology
Algebraic & Geometric Topology
Bousfield and Kan's $\mathbb{Q}$-completion and fiberwise $\mathbb{Q}$-completion of spaces lead to two different approaches to the rational homotopy theory of non-simply connected spaces. In the first approach, a map is a weak equivalence if it indu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7ffa5c439e2b731213f5fe47662476f
https://dare.uva.nl/personal/pure/en/publications/rational-homotopy-equivalences-and-singular-chains(3a03b9cc-14b2-46a8-829b-b818cacbc5a1).html
https://dare.uva.nl/personal/pure/en/publications/rational-homotopy-equivalences-and-singular-chains(3a03b9cc-14b2-46a8-829b-b818cacbc5a1).html
Publikováno v:
Proceedings of the American Mathematical Society
The normalized singular chains of a path connected pointed space $X$ may be considered as a connected $E_{\infty}$-coalgebra $\mathbf{C}_*(X)$ with the property that the $0^{\text{th}}$ homology of its cobar construction, which is naturally a cocommu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::31a1d7738841cde986d9a84da58bb7c6
https://hdl.handle.net/21.11116/0000-0005-0A6A-A21.11116/0000-0005-0A6C-821.11116/0000-0005-0A6D-7
https://hdl.handle.net/21.11116/0000-0005-0A6A-A21.11116/0000-0005-0A6C-821.11116/0000-0005-0A6D-7
Autor:
Felix Wierstra, Daniel Robert-Nicoud
In previous works by the authors, a bifunctor was associated to any operadic twisting morphism, taking a coalgebra over a cooperad and an algebra over an operad, and giving back the space of (graded) linear maps between them endowed with a homotopy L
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::418e29a7a1d97f0e0282a63aff9a9b5f
Autor:
Felix Wierstra
In this paper we will define an invariant $mc_{\infty}(f)$ of maps $f:X \rightarrow Y_{\mathbb{Q}}$ between a finite CW-complex and a rational space $Y_{\mathbb{Q}}$. We prove that this invariant is complete, i.e. $mc_{\infty}(f)=mc_{\infty}(g)$ if a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::644a103b25474403150e9e741902603f