Cartan calculus in string topology
T Naito - Proceedings of the American Mathematical Society, 2024 - ams.org
In this paper, we investigate a Cartan calculus on the homology of free loop spaces which is
introduced by Kuribayashi, Wakatsuki, Yamaguchi and the author [Cartan calculi on the free …
introduced by Kuribayashi, Wakatsuki, Yamaguchi and the author [Cartan calculi on the free …
[PDF][PDF] Derived character maps of group representations
Y Berest, AC Ramadoss - Preprint, 2022 - math.indiana.edu
In this paper, we define and study derived character maps of finite-dimensional
representations of homotopy simplicial groups, which are homotopy algebras over the …
representations of homotopy simplicial groups, which are homotopy algebras over the …
A reduction of the string bracket to the loop product
K Kuribayashi, T Naito, S Wakatsuki… - Algebraic & Geometric …, 2024 - msp.org
The negative cyclic homology for a differential graded algebra over the rational field has a
quotient of the Hochschild homology as a direct summand if the S–action is trivial. With this …
quotient of the Hochschild homology as a direct summand if the S–action is trivial. With this …
Derived character maps of group representations
Y Berest, AC Ramadoss - Algebraic & Geometric Topology, 2024 - msp.org
We define and study (derived) character maps of finite-dimensional representations of∞–
groups. As models for∞–groups we take homotopy simplicial groups, ie the homotopy …
groups. As models for∞–groups we take homotopy simplicial groups, ie the homotopy …