5 papers
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 Ä°zbudak, Kadri Ä°lker 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 and Perversely Categorified Legendrian Correspondences
Efe Ä°zbudak, Efe İzbudak
Prior work has shown that shifted contact derived Artin stacks admit smooth Darboux atlases. However, establishing enumerative invariants and linearizing these categorical structur…
A Derived Legendrian Category for Shifted Contact Stacks
Efe Ä°zbudak, Kadri Ä°lker Berktav
We construct the derived Legendrian category for an -shifted contact derived Artin stack and the -category of Legendrian corresponde…
Equivariant Quotients of Derived Symplectic Spaces and Legendrian Intersection Theorem
Efe Ä°zbudak, Kadri Ä°lker 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…