Stefan Matijevi'c

collaborators

3 papers

math.SG2025

A note on the wild symplectic ellipsoids

Filip BroÄiÄ, Stefan MatijeviÄ

We show that the symplectic $2$ -product of $n$ two-dimensional star-shaped domains has an interior symplectomorphic to that of a symplectic ellipsoid. Adapting this construction, g…

math.SG2025

Systolic $S^{1}$ -index and characterization of non-smooth Zoll convex bodies

Stefan MatijeviÄ

We define the systolic $S^{1}$ -index of a convex body as the Fadell-Rabinowitz index of the space of generalized systoles associated with its boundary. We show that this index is a s…

math.SG2025

Positive ( $S^{1}$ -equivariant) symplectic homology of convex domains, higher capacities, and Clarke's duality

Stefan MatijeviÄ

We prove that the filtered positive ( $S^{1}$ -equivariant) symplectic homology of a convex domain is naturally isomorphic to the filtered singular ( $S^{1}$ -equivariant) homology induced…

A note on the wild symplectic ellipsoids

Systolic S1-index and characterization of non-smooth Zoll convex bodies

Positive (S1-equivariant) symplectic homology of convex domains, higher capacities, and Clarke's duality

Systolic $S^{1}$ -index and characterization of non-smooth Zoll convex bodies

Positive ( $S^{1}$ -equivariant) symplectic homology of convex domains, higher capacities, and Clarke's duality