Danica Kosanovi'c

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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.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.GT2024

On fundamental groups of spaces of framed embeddings of a circle in a 4-manifold

Danica Kosanović

Motivated by recent results on diffeomorphisms of 4-manifolds, this paper investigates fundamental groups of spaces of embeddings of $S^{1} \times D^{3}$ in 4-manifolds. The majority of…

Sparse curve systems have intermediate growth type

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

Grasper families of spheres in S2×D2 and barbell diffeomorphisms of S1×S2×I

On fundamental groups of spaces of framed embeddings of a circle in a 4-manifold

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