68 citations · 104 across the 17 of their papers we have counts for
17 papers
On the structure of the Poisson trinomial distribution
Mark Broadie, Ina Petkova
We study sums of independent random variables that take values , , or . We show that the probability mass function of the sum splits into two interleaved parts: one supp…
Double-point enhanced GRID invariants and Lagrangian cobordisms
Ashton Lewis, Zachary Ojakli, Ina Petkova +1
We define an invariant of Legendrian links in the double-point enhanced grid homology of a link, and prove that it obstructs decomposable Lagrangian cobordisms in the symplectizati…
Khovanov homology and Lagrangian cobordisms
Gage Martin, Ina Petkova, Zachary Winkeler
We provide a partial answer to a question of Ekholm, Honda, and Kálmán about the relationship between Khovanov homology and decomposable Lagrangian cobordisms. We also utilize prev…
A Legendrian knot atlas for knots of arc index 10
Ina Petkova, Noah Schwartz
We expand the atlas of Legendrian knots in standard contact three-space to knots of arc index 10.
Spectral GRID invariants and Lagrangian cobordisms
Mitchell Jubeir, Ina Petkova, Noah Schwartz +2
We prove that the filtered GRID invariants of Legendrian links in link Floer homology, and consequently their associated invariants in the spectral sequence, obstruct decomposable…
Bordered Floer homology with integral coefficients for manifolds with torus boundary
Douglas Knowles, Ina Petkova
We provide a combinatorial definition of a bordered Floer theory with coefficients for manifolds with torus boundary. Our bordered Floer structures recover the combinat…
A friendly introduction to the bordered contact invariant
Akram Alishahi, Joan Licata, Ina Petkova +1
We give a short introduction to the contact invariant in bordered Floer homology defined by Földvári, Hendricks, and the authors. The construction relies on a special class of foli…
Bordered Floer homology and contact structures
Akram Alishahi, Viktória Földvári, Kristen Hendricks +3
We introduce a contact invariant in the bordered sutured Heegaard Floer homology of a three-manifold with boundary. The input for the invariant is a contact manifold $(M, ξ, \mathc…
Twisted Mazur pattern satellite knots and bordered Floer theory
Ina Petkova, Biji Wong
We use bordered Floer theory to study properties of twisted Mazur pattern satellite knots . We prove that is not Floer homologically thin, with two exceptions. W…
Khovanov homology and causality in spacetimes
Vladimir Chernov, Gage Martin, Ina Petkova
We observe that Khovanov homology detects causality in -dimensional globally hyperbolic spacetimes whose Cauchy surface is homeomorphic to
Skein relations for tangle Floer homology
Ina Petkova, C. -M. Michael Wong
In a previous paper, Vértesi and the first author used grid-like Heegaard diagrams to define tangle Floer homology, which associates to a tangle a differential graded bimodule…
An introduction to tangle Floer homology
Ina Petkova, Vera Vértesi
This paper is a short introduction to the combinatorial version of tangle Floer homology defined in "Combinatorial tangle Floer homology". There are two equivalent definitions---on…
A self-pairing theorem for tangle Floer homology
Ina Petkova, Vera Vertesi
We show that for a tangle with the Hochschild homology of the tangle Floer homology is equivalent to the link Flo…
Combinatorial tangle Floer homology
Ina Petkova, Vera Vertesi
In this paper we extend the idea of bordered Floer homology to knots and links in : Using a specific Heegaard diagram, we construct gluable combinatorial invariants of tangles…
An absolute Z/2 grading on bordered Heegaard Floer homology
Ina Petkova
Bordered Heegaard Floer homology is an invariant for 3-manifolds, which associates to a surface F an algebra A(F), and to a 3-manifold Y with boundary, together with an orientation…
The decategorification of bordered Heegaard Floer homology
Ina Petkova
Bordered Heegaard Floer homology is an invariant for 3-manifolds, which associates to a surface F an algebra A(Z), and to a 3-manifold Y with boundary, together with an orientation…
Cables of thin knots and bordered Heegaard Floer homology
Ina Petkova
We use bordered Floer homology to give a formula for the knot Floer homology of any (p, pn+1)-cable of a thin knot K in terms of Delta_K(t), tau(K), p, and n. We also give a formul…