3 papers
math.SG2026
Shifted Contact Structures on Exact Symplectic Fibrations
Mehmet Fırat Arıkan, Kadri İlker Berktav, Efe İzbudak
Within the framework of classical contact geometry, the first author introduced the notion of contact symplectic structure --the data of an exact symplectic fibration with a contac…
math.SG2026
Shifted Symplectic Fibrations and Derived Thurston Theorem
Mehmet Fırat Arıkan, Kadri İlker Berktav, Efe İzbudak
In classical symplectic geometry, under mild conditions, Thurston proved that one can construct a compatible symplectic form on the total space of a symplectic fibration with a con…
math.GT2023
Tight Contact Structures on Contact Mapping Tori and their Folded Sums
M. Firat Arikan
It is known that the folded sum of two contact mapping tori whose fibers are compact exact symplectic manifolds having a common convex boundary (called the ``fold'') admits a coori…