Danica Kosanovi'c

collaborators

6 papers

math.GT2025

Sparse curve systems have intermediate growth type

Sebastian Baader, Jasmin Jörg, Danica Kosanović

A system of simple closed curves on a surface of genus $g$ is said to be sparse if their average pairwise intersection number does not exceed one. We show that the maximal size of…

math.GT2025

Restricted (2+1)-TQFTs supported by thickened and solid tori

Dušan Đorđević, Danica Kosanović, Jovana Nikolić +1

A faithful $(1 + 1)$ TQFT has recently been constructed, but the existence of a faithful $(2 + 1)$ TQFT remains an open question, that subsumes the hard problem of linearity of mapping…

math.AT2025

Lie structures in homotopy and isotopy calculi

Danica Kosanović

We establish compatibility of Lie structures that appear in homotopy calculus of functors and isotopy calculus of embeddings. On one hand, we give a new proof of the Johnson--Arone…

math.GT2024

Grasper families of spheres in $S^{2} \times D^{2}$ and barbell diffeomorphisms of $S^{1} \times S^{2} \times I$

Eduardo Fernández, David T. Gay, Daniel Hartman +1

We show that the fundamental group of framed circles in $S^{1} \times D^{3}$ injects into the fundamental group of framed spheres in $S^{2} \times D^{2}$ , so that the cokernel is the fundam…

math.AT2024

An algebro-geometric model for the configuration category

Pedro Boavida de Brito, Geoffroy Horel, Danica Kosanović

Using log-geometry, we construct a model for the configuration category of a smooth algebraic variety. As an application, we prove the formality of certain configuration spaces.