Zobrazeno 1 - 10
of 687
pro vyhledávání: '"Rivera, Manuel"'
Given a commutative ring $R$, a $\pi_1$-$R$-equivalence is a continuous map of spaces inducing an isomorphism on fundamental groups and an $R$-homology equivalence between universal covers. When $R$ is an algebraically closed field, Raptis and Rivera
Externí odkaz:
http://arxiv.org/abs/2410.04688
Autor:
Holstein, Julian, Rivera, Manuel
We show that Koszul duality between differential graded categories and pointed curved coalgebras interchanges smooth and proper Calabi-Yau structures. This result is a generalization and conceptual explanation of the following two applications. For a
Externí odkaz:
http://arxiv.org/abs/2410.03604
Autor:
Rivera, Manuel, Tolosa, Daniel
We prove that the cyclic chain complex of the categorical coalgebra of singular chains on an arbitrary topological space $X$ is naturally quasi-isomorphic to the $S^1$-equivariant chains of the free loop space of $X$. This statement does not require
Externí odkaz:
http://arxiv.org/abs/2403.08116
Publikováno v:
International Journal of Tourism Cities, 2024, Vol. 10, Issue 3, pp. 905-924.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/IJTC-05-2023-0105
We construct and study an algebraic analogue of the loop coproduct in string topology, also known as the Goresky-Hingston coproduct. Our algebraic setup, which under this analogy takes the place of the complex of chains on the free loop space of a po
Externí odkaz:
http://arxiv.org/abs/2308.09684
We explain how to derive an explicit formula for a natural transformation relating the (left adjoints of) the homotopy coherent nerve and the Dwyer-Kan simplicial classifying space functor. The formula is derived using a method introduced by Szczarba
Externí odkaz:
http://arxiv.org/abs/2305.13638
Autor:
Rivera, Manuel
We describe an algebraic chain level construction that models the passage from an arbitrary topological space to its free loop space. The input of the construction is a categorical coalgebra, i.e. a curved coalgebra satisfying certain properties, and
Externí odkaz:
http://arxiv.org/abs/2210.10096
Autor:
Raptis, George, Rivera, Manuel
We study the simplicial coalgebra of chains on a simplicial set with respect to three notions of weak equivalence. To this end, we construct three model structures on the category of reduced simplicial sets for any commutative ring R. The weak equiva
Externí odkaz:
http://arxiv.org/abs/2206.06335
We describe two major string topology operations, the Chas-Sullivan product and the Goresky-Hingston coproduct, from geometric and algebraic perspectives. The geometric construction uses Thom-Pontrjagin intersection theory while the algebraic constru
Externí odkaz:
http://arxiv.org/abs/2203.02429
Autor:
Rodríguez de Rivera, Pedro Jesús, Rodríguez de Rivera, Miriam, Socorro, Fabiola, Rodríguez de Rivera, Manuel
Publikováno v:
In International Journal of Heat and Mass Transfer January 2025 236 Part 1