6 papers
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…
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…
AKSZ Construction for Shifted Contact Structures
Efe İzbudak, Kadri İlker Berktav
This paper establishes the AKSZ theorem for shifted contact structures and its applications. In brief, to resolve certain obstructions, we first define the quotient mapping stack a…
Equivariant Contact Darboux Quotients
Efe İzbudak
We prove an equivariant Darboux theorem for -shifted contact derived Artin stacks. Such a stack admits a smooth atlas by contact Darboux charts: the derived discriminant locus…
A Derived Legendrian Category for Shifted Contact Stacks
Efe İzbudak, Kadri İlker Berktav
For every integer and every , we construct a symmetric monoidal -category whose objects are -shifted contact derived Artin stacks an…
Equivariant Quotients of Derived Symplectic Spaces and Legendrian Intersection Theorem
Efe İzbudak, Kadri İlker Berktav
The classical transversality lemma of contact geometry constructs a contact structure on a hypersurface transverse to a Liouville vector field using point-set topology and local fl…