Ernesto Lupercio
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Ernesto Lupercio has a total of 21 co-authors. Here are the top co-authors by number of shared publications:
- Bernardo Uribe
Departamento de Matemáticas y Estadística, Universidad del Norte, Barranquilla, Colombia
4 shared publications - Miguel A. Xicotencatl
CINVESTAV
3 shared publications - Thomas Nevins
Department of Mathematics, University of Illinois, Urbana, IL 61801, USA
2 shared publications - Tommaso de Fernex
Department of Mathematics, University of Michigan, East Hall, 525 East University Avenue, Ann Arbor, MI 48109-1109, USA
2 shared publications - Alberto Verjovsky
Instituto de Matemáticas, Unidad Cuernavaca, Universidad Nacional Autónoma de México, Cuernavaca, Mexico
1 shared publication - Alejandro Uribe
Mathematics Department, University of Michigan, Ann Arbor, USA
1 shared publication
Latest Publications
- 1 January 2022
- Published by International Press of Boston in Pure and Applied Mathematics Quarterly
- Vol. 18 (1) , 33-70
The exponential map of the complexification of the group of analytic Hamiltonian diffeomorphisms
International Press of Boston - publishers of scholarly mathematical and scientific journals and books
- 1 January 2022
- Published by International Press of Boston in Pure and Applied Mathematics Quarterly
- Vol. 18 (1) , 33-70
The exponential map of the complexification of the group of analytic Hamiltonian diffeomorphisms
International Press of Boston - publishers of scholarly mathematical and scientific journals and books
- Open Access
The exponential map of the complexification of {\em Ham} in the real-analytic case
Let $(M, \omega, J)$ be a K\"ahler manifold and K its group of hamiltonian symplectomorphisms. The complexification of K introduced by Donadson is not a group, only a "formal Lie group". However it still makes sense to talk about the exponential map in the complexification. In this note we show how to construct geometrically the exponential map (for small time), in case the initial data are real-analytic. The construction is motivated by, but does not use, semiclassical analysis.Open AccessThe exponential map of the complexification of {\em Ham} in the real-analytic case
Let $(M, \omega, J)$ be a K\"ahler manifold and K its group of hamiltonian symplectomorphisms. The complexification of K introduced by Donadson is not a group, only a "formal Lie group". However it still makes sense to talk about the exponential map in the complexification. In this note we show how to construct geometrically the exponential map (for small time), in case the initial data are real-analytic. The construction is motivated by, but does not use, semiclassical analysis. - 11 March 2017
- Published by Springer Nature in Boletín de la Sociedad Matemática Mexicana
- Vol. 23 (1) , 1-4
Samuel Gitler and his influence
- 11 March 2017
- Published by Springer Nature in Boletín de la Sociedad Matemática Mexicana
- Vol. 23 (1) , 1-4
Samuel Gitler and his influence
- 28 February 2015
- Published by Springer Nature in Boletín de la Sociedad Matemática Mexicana
- Vol. 21 (1) , 3-8
Samuel Gitler and his work
- 28 February 2015
- Published by Springer Nature in Boletín de la Sociedad Matemática Mexicana
- Vol. 21 (1) , 3-8
Samuel Gitler and his work
- Open Access
Non-commutative Toric Varieties
In this note we introduce a new family of non-commutative spaces that we call non-commutative toric varieties and we describe some of their main properties. The main technical tool in this investigation is a natural extension of LVM-theory for the irrational case. In order to introduce the moduli space of (non-commutative) toric varieties we use variations on the notion of diffeology as models for non-commutative spaces.
Open AccessNon-commutative Toric Varieties
In this note we introduce a new family of non-commutative spaces that we call non-commutative toric varieties and we describe some of their main properties. The main technical tool in this investigation is a natural extension of LVM-theory for the irrational case. In order to introduce the moduli space of (non-commutative) toric varieties we use variations on the notion of diffeology as models for non-commutative spaces.
- Open Access
Orbifold String Topology
In this paper we study the string topology (\'a la Chas-Sullivan) of an orbifold. We define the string homology ring product at the level of the free loop space of the classifying space of an orbifold. We study its properties (introducing an operad to do so) and do some explicit calculations.
Open AccessOrbifold String Topology
In this paper we study the string topology (\'a la Chas-Sullivan) of an orbifold. We define the string homology ring product at the level of the free loop space of the classifying space of an orbifold. We study its properties (introducing an operad to do so) and do some explicit calculations.
- 30 January 2007
- Published by Elsevier in Advances in Mathematics
- Vol. 208 (2) , 597-621
Stringy Chern classes of singular varieties
- 30 January 2007
- Published by Elsevier in Advances in Mathematics
- Vol. 208 (2) , 597-621
Stringy Chern classes of singular varieties
- 1 January 2007
- Published by International Press of Boston in Mathematical Research Letters
- Vol. 14 (3) , 491-501
Chen-Ruan Cohomology of cotangent orbifolds and Chas-Sullivan String Topology
- 1 January 2007
- Published by International Press of Boston in Mathematical Research Letters
- Vol. 14 (3) , 491-501
Chen-Ruan Cohomology of cotangent orbifolds and Chas-Sullivan String Topology
- Open Access
Chen-Ruan Cohomology of cotangent orbifolds and Chas-Sullivan String Topology
In this paper we prove that for an almost complex orbifold, its virtual orbifold cohomology [math.AT/0606573] is isomorphic as algebras to the Chen-Ruan orbifold cohomology of its cotangent orbifold.
Open AccessChen-Ruan Cohomology of cotangent orbifolds and Chas-Sullivan String Topology
In this paper we prove that for an almost complex orbifold, its virtual orbifold cohomology [math.AT/0606573] is isomorphic as algebras to the Chen-Ruan orbifold cohomology of its cotangent orbifold.
- Open Access
The loop orbifold of the symmetric product
By using the loop orbifold of the symmetric product, we give a formula for the Poincar\'e polynomial of the free loop space of the Borel construction of the symmetric product. We also show that the Chas-Sullivan product structure in the homology of the free loop space of the Borel construction of the symmetric product induces a ring structure in the homology of the inertia orbifold of the symmetric product. This ring structure is compared to the one in cohomology defined through the usual field theory formalism as in the theory of Chen and Ruan.
Open AccessThe loop orbifold of the symmetric product
By using the loop orbifold of the symmetric product, we give a formula for the Poincar\'e polynomial of the free loop space of the Borel construction of the symmetric product. We also show that the Chas-Sullivan product structure in the homology of the free loop space of the Borel construction of the symmetric product induces a ring structure in the homology of the inertia orbifold of the symmetric product. This ring structure is compared to the one in cohomology defined through the usual field theory formalism as in the theory of Chen and Ruan.