Georgios Dimitroglou Rizell

Publications

Published
14. The number of Hamiltonian fixed points on symplectically aspherical manifolds,
Proceedings of the Gökova Geometry-Topology Conference 2016. Gökova Geometry/Topology Conference (GGT), Gökova, 2017, 138–150.
⊞ Abstract
link arXiv
MathSciNet
13. Lagrangian isotopy of tori in S2×S2 and ℂP2 (with E. Goodman & A. Ivrii),
Geom. Funct. Anal. 26 no. 5 (2016) 1297–1358.
⊞ Abstract
link arXiv
MathSciNet
12. Nontriviality results for the characteristic algebra of a DGA,
Math. Proc. Cambridge 162 no. 3 (2017) 419–433.
⊞ Abstract
link arXiv
MathSciNet
11. Uniqueness of extremal Lagrangian tori in the four-dimensional disc,
Proceedings of the Gökova Geometry-Topology Conference 2015. Gökova Geometry/Topology Conference (GGT), Gökova, 2016, 151–167.
⊞ Abstract ⊞ Remarks
link arXiv
MathSciNet
10. Noncommutative augmentation categories (with B. Chantraine, P. Ghiggini, & R. Golovko),
Proceedings of the Gökova Geometry-Topology Conference 2015. Gökova Geometry/Topology Conference (GGT), Gökova, 2016, 116–150.
⊞ Abstract
link arXiv
MathSciNet
9. Legendrian Ambient Surgery and Legendrian Contact Homology,
J. Symplectic Geom. 14 no. 3 (2016) 811–901.
⊞ Abstract
link arXiv
MathSciNet
8. Lifting pseudo-holomorphic polygons to the symplectisation of P × ℝ and applications,
Quantum Topol. 7 no. 1 (2016) 29–105.
⊞ Abstract
doi arXiv
zbMATH MathSciNet
7. Floer homology and Lagrangian concordance (with B. Chantraine, P. Ghiggini, & R. Golovko),
Proceedings of the Gökova Geometry-Topology Conference 2014. Gökova Geometry/Topology Conference (GGT), Gökova, 2015, 76–113.
⊞ Abstract
link arXiv
MathSciNet
6. Exotic spheres and the topology of symplectomorphism groups (with J. D. Evans),
J. Topology 8 no. 2 (2015) 586–602.
⊞ Abstract
doi arXiv
zbMATH MathSciNet
5. Estimating the number of Reeb chords using a linear representation of the characteristic algebra (with R. Golovko),
‎Algebr. Geom. Topol. 15 no. 5 (2015) 2887–2920.
⊞ Abstract
doi arXiv
zbMATH MathSciNet
4. Exact Lagrangian caps and non-uniruled Lagrangian submanifolds,
Ark. Mat. 53 no. 1 (2015) 37–64.
⊞ Abstract ⊞ Remarks
doi arXiv
zbMATH MathSciNet
3. On homological rigidity and flexibility of exact Lagrangian endocobordisms (with R. Golovko),
Int. J. Math 25 no. 10 (2014).
⊞ Abstract
doi arXiv
zbMATH MathSciNet
2. Unlinking and unknottedness of monotone Lagrangian submanifolds (with J. D. Evans),
Geom. Topol. 18 no. 2 (2014) 997–1034.
⊞ Abstract
doi arXiv
zbMATH MathSciNet
1. Knotted Legendrian surfaces with few Reeb chords,
‎Algebr. Geom. Topol. 11 no. 5 (2011) 2903–2936.
⊞ Abstract ⊞ Remarks
doi arXiv
zbMATH MathSciNet

Preprints
Geometric generation of the wrapped Fukaya category of Weinstein manifolds and sectors (with B. Chantraine, P. Ghiggini, & R. Golovko) arXiv
The classification of Lagrangians nearby the Whitney immersion arXiv
The stable Morse number as a lower bound for the number of Reeb chords (with R. Golovko)
To appear in Journal of Symplectic Geometry
arXiv
An energy-capacity inequality for Legendrian submanifolds (with M. Sullivan) arXiv
Floer theory for Lagrangian cobordisms (with B. Chantraine, P. Ghiggini, & R. Golovko) arXiv
Positive Legendrian isotopies and Floer theory (with B. Chantraine & V. Colin) arXiv

Thesis
Here is the introductory summary of my Ph.D. thesis (2012).