Zobrazeno 1 - 10
of 314
pro vyhledávání: '"Chaidez, P."'
Autor:
Chaidez, Julian
This short note clarifies the status of linearized contact homology given the foundations of the contact dg-algebra established by Pardon. In particular, we prove that the set of isomorphism classes of linearized contact homologies of a closed contac
Externí odkaz:
http://arxiv.org/abs/2412.20676
Autor:
Chaidez, Julian
We construct the first examples of hypersurfaces in any contact manifold of dimension 5 and larger that cannot be $C^2$-approximated by convex hypersurfaces. This contrasts sharply with the foundational result of Giroux in dimension $3$ and the work
Externí odkaz:
http://arxiv.org/abs/2406.05979
Autor:
Chaidez, Julian, Tanny, Shira
We formulate elementary SFT spectral invariants of a large class of symplectic cobordisms and stable Hamiltonian manifolds, in any dimension. We give criteria for the strong closing property using these invariants, and verify these criteria for Hofer
Externí odkaz:
http://arxiv.org/abs/2312.17211
Given a triple $H$ of (possibly non-semisimple) Hopf algebras equipped with pairings satisfying a set of properties, we describe a construction of an associated smooth, scalar invariant $\tau_H(X,\pi)$ of a simply connected, compact, oriented $4$-man
Externí odkaz:
http://arxiv.org/abs/2309.08461
We give a construction of embedded contact homology (ECH) for a contact $3$-manifold $Y$ with convex sutured boundary and a pair of Legendrians $\Lambda_+$ and $\Lambda_-$ contained in $\partial Y$ satisfying an exactness condition. The chain complex
Externí odkaz:
http://arxiv.org/abs/2302.07259
Autor:
Chaidez, Julian, Wormleighton, Ben
We develop new methods of both constructing and obstructing symplectic embeddings into non-toric rational surfaces using the theory of Newton-Okoukov bodies. Applications include sharp embedding results for concave toric domains into non-toric ration
Externí odkaz:
http://arxiv.org/abs/2211.09225
We develop methods for studying the smooth closing lemma for Reeb flows in any dimension using contact homology. As an application, we prove a conjecture of Irie, stating that the strong closing lemma holds for Reeb flows on ellipsoids. Our methods a
Externí odkaz:
http://arxiv.org/abs/2206.04738
Autor:
Chaidez, Julian, Edtmair, Oliver
We construct the Ruelle invariant of a volume preserving flow and a symplectic cocycle in any dimension and prove several properties. In the special case of the linearized Reeb flow on the boundary of a convex domain $X$ in $\mathbb{R}^{2n}$, we prov
Externí odkaz:
http://arxiv.org/abs/2205.00935
Autor:
Cecilia Hernández-Zepeda, Luis Jorge Negrete-Alcalde, Gabriela Rosiles-González, Victor Hugo Carrillo-Jovel, Sarah E. Abney, Walter Q. Betancourt, Charles P. Gerba, Cristóbal Chaidez-Quiroz, Amanda M. Wilson
Publikováno v:
Journal of Water and Health, Vol 22, Iss 2, Pp 372-384 (2024)
The study objective was to evaluate human faecal contamination impacts in the Yal-ku lagoon in the Mexican Caribbean and to estimate adenovirus infection and illness risks associated with recreational exposure during water activities. A total of 20 w
Externí odkaz:
https://doaj.org/article/5b2475680b5746439489607286af3432
Autor:
Chaidez, Julian, Wormleighton, Ben
We initiate the study of the rational SFT capacities of Siegel using tools in toric algebraic geometry. In particular, we derive new (often sharp) bounds for the RSFT capacities of a strongly convex toric domain in dimension $4$. These bounds admit d
Externí odkaz:
http://arxiv.org/abs/2106.07920