Yankı Lekili

King's College London
yanki.lekili@kcl.ac.uk

I am a Royal Society University Research Fellow in Geometry.

Curriculum vitae


Seminar:

Articles: ( Citations )

Arithmetic mirror symmetry for genus 1 curves with \(n\) marked points , 50 pp., submitted (2016)
(with A. Polishchuk)

Generating the Fukaya categories of Hamiltonian G-manifolds, 57 pp., submitted (2015)
(with J. Evans)

Koszul duality patterns in Floer theory, 72 pp., submitted (2015)
(with T. Etgü)

A modular compactification of \(\mathcal{M}_{1,n}\) from \(A_\infty\)-structures, 45 pp., submitted (2014)
(with A. Polishchuk)

Floer cohomology of the Chiang Lagrangian, Selecta Mathematica 21 (2015), no. 4, 1361--1404.
(with J. Evans)

Floer cohomology of \(\mathfrak{g}\)-equivariant Lagrangian branes, 44 pp., Compositio Mathematica (2015)
(with J.Pascaleff)

Arithmetic mirror symmetry for the 2-torus, 95 pp., submitted (2012)
(with T. Perutz)

The symplectic topology of some rational homology balls, Comment. Math. Helv. 89 (2014), no. 3, 571--596.
(with M. Maydanskiy)

Fukaya categories of the torus and Dehn surgery, Proc. Natl. Acad. Sci. USA 108 (2011), no. 20, 8106--8113.
(with T. Perutz)

Planar open books with four binding components, Algebr. Geom. Topol. 11 (2011), no. 2, 909--928.

Milnor fillable contact structures are universally tight, Math. Res. Lett. 17 (2010), no. 6, 1055--1063.
(with B. Ozbagci)

Geometric composition in quilted Floer theory, Corrigendum, Adv. Math. 236 (2013), 1--23.
(with M. Lipyanskiy)

Examples of planar tight contact structures with support norm one, Int. Math. Res. Not. IMRN 2010, no. 19, 3723--3728.
(with T. Etgü)

Broken Lefschetz fibrations, Lagrangian matching invariants and Ozsváth-Szabó invariants, PhD Thesis MIT (2009)

Heegaard Floer homology of broken fibrations over the circle, Adv. Math. 244 (2013), 268--302.

Wrinkled fibrations on near-symplectic manifolds, Geometry & Topology 13 (2009) no. 1, 277--318.