Publications

Preprints

• 1. G. Dimitroglou Rizell and R. Golovko, Instability of Legendrian knottedness, and non-regular Lagrangian 

concordances of knots,  preprint 2024, arXiv: 2409.00290.  

List of publications

• 2.  R. Golovko, Lagrangian concordance is not a partial order in high dimensions,  

Pacific Journal of Mathematics,  Vol. 334 (2025), No. 1, 183-187. 

DOI: 10.2140/pjm.2025.334.183 

• 3.  B. Chantraine, G. Dimitroglou Rizell, P. Ghiggini and R. Golovko, Geometric generation of the wrapped Fukaya category 

of Weinstein manifolds  and sectors, 

Annales Scientifiques de l'École Normale Supérieure, Serie 4, Volume 57 (2024), no. 1 , 1-85.

DOI: 10.24033/asens.2570 

• 4. R. Golovko, On non-geometric augmentations in high dimensions, 

Geometriae Dedicata, 217, 104 (2023).

DOI: 10.1007/s10711-023-00842-7 

• 5. G. Dimitroglou Rizell and R. Golovko, Legendrian submanifolds from Bohr-Sommerfeld covers of monotone Lagrangian 

tori,  Communications in Analysis and Geometry, Vol. 31, No. 4 (2023), 905-978.

DOI: 10.4310/CAG.2023.v31.n4.a6 

• 6.  R. Golovko, On torsion in linearized Legendrian contact homology, 

Journal of Knot Theory and Its Ramifications, Vol. 32,  No. 07, 2350056 (2023).

DOI: 10.1142/S0218216523500566

• 7.  R. Golovko, A note on infinite number of exact Lagrangian fillings for spherical spuns,  

Pacific Journal of Mathematics, 317-1 (2022), 143-152.

DOI: 10.2140/pjm.2022.317.143

• 8.  R. Golovko, On topologically distinct infinite families of exact Lagrangian fillings, 

Archivum Mathematicum, Vol. 58 (2022), 287–293.

DOI: 10.5817/AM2022-5-287

• 9.   G. Dimitroglou Rizell and R. Golovko, On Legendrian products and twist spuns, 

Algebraic & Geometric Topology, 21-2 (2021), 665–695.

DOI: 10.2140/agt.2021.21.665 

• 10.  R. Golovko, Notes on the invariants of Legendrian submanifolds and exact Lagrangian cobordisms, 

Proceedings of the Geometry-Topology Conference 2018/2019, Gökova Geometry-Topology Conference (GGT), 

Gökova, 2021, 105-138.

ISBN: 9781571463968  

• 11.  B. Chantraine, G. Dimitroglou Rizell, P. Ghiggini and R. Golovko, Floer theory for Lagrangian cobordisms, 

Journal of Differential Geometry, Volume 114, Number 3 (2020), 393-465.

DOI: 10.4310/jdg/1583377213

• 12. R. Golovko, On variants of Arnold conjecture, 

Archivum Mathematicum, vol. 56 (2020), issue 5, 277-286.

DOI: 10.5817/AM2020-5-277   

• 13.  J.-F. Barraud, A. Gadbled, R. Golovko and H. V. Le, A Novikov fundamental group, 

International Mathematics Research Notices, Volume 2020, Issue 24, December 2020, Pages 10447–10494.

DOI: 10.1093/imrn/rnz032 

• 14.  G. Dimitroglou Rizell and R. Golovko,  The stable Morse number as a lower bound for the number of Reeb chords, 

Journal of Symplectic Geometry, Vol. 16, No. 5 (2018), 1209-1248.

DOI: 10.4310/JSG.2018.v16.n5.a2 

• 15. G. Dimitroglou Rizell and R. Golovko, The number of Hamiltonian fixed points on symplectically aspherical manifolds,

Proceedings of the Geometry-Topology Conference 2016. Gökova Geometry-Topology Conference (GGT), Gökova, 

2017, 138-150.

ISBN: 9781571463401 

• 16.  O. Fabert, J. Fish , R. Golovko and K. Wehrheim, Polyfolds: A first and second look, 

EMS Surv. Math. Sci. 3 (2016), 131–208.

DOI: 10.4171/EMSS/16   

• 17.  B. Chantraine, G. Dimitroglou Rizell, P. Ghiggini and R. Golovko, Noncommutative augmentation categories,

Proceedings of the Geometry-Topology Conference 2015. Gökova Geometry-Topology Conference (GGT), Gökova, 

2016, 116–150.

ISBN: 9781571463210 

• 18. G. Dimitroglou Rizell and R. Golovko, Estimating the number of Reeb chords using a linear representation of the 

characteristic algebra,  Algebraic and Geometric Topology, 15-5 (2015), 2887–2920.

DOI: 10.2140/agt.2015.15.2885 

• 19.  B. Chantraine, G. Dimitroglou Rizell, P. Ghiggini and R. Golovko, Floer homology and Lagrangian concordance, 

Proceedings of the Gökova Geometry-Topology Conference 2014, (2015), 76-113.

ISBN: 9781571463074  

• 20. R. Golovko, The cylindrical contact homology of universally tight sutured contact solid tori, 

Pacific Journal of Mathematics, 274-1 (2015), 73-96.

DOI: 10.2140/pjm.2015.274.73

• 21. R. Golovko, A note on the front spinning construction, Bulletin of the London Mathematical Society, 

46 (2014), no. 2, 258–268.

DOI: 10.1112/blms/bdt091  

• 22. G. Dimitroglou Rizell and R. Golovko, On homological rigidity and flexibility of exact Lagrangian endocobordisms, 

International Journal of  Mathematics, Vol. 25, No. 10, 1450098 (2014), 24 pages.

DOI: 10.1142/S0129167X14500980 

• 23. R. Golovko, A note on Lagrangian cobordisms between Legendrian submanifolds of R^2n+1, 

Pacific Journal of Mathematics, Vol. 261 (2013), No. 1, 101–116.

DOI: 10.2140/pjm.2013.261.101

• 24. R. Golovko, The embedded contact homology of sutured solid tori, 

Algebraic and Geometric Topology, 11 (2011), 1001–1031.

DOI: 10.2140/agt.2011.11.1001 

Thesis

The embedded contact homology of S1xD2, University of Southern California, Ph.D. Thesis, 2009