Publications

Thesis

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

List of publications and accepted preprints

• 1.  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 

• 2.  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

• 3. 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  

• 4. 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  

• 5.  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

• 6.  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

• 7.  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

• 8.   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 

• 9.  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 

• 10.  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 

• 11. 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 

• 12.  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 

• 13.  R. Golovko, On variants of Arnold conjecture, Archivum Mathematicum, vol. 56 (2020), issue 5, 277-286.

DOI: 10.5817/AM2020-5-277

• 14. 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  

• 15.  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 

• 16.  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

• 17. R. Golovko, On topologically distinct infinite families of exact Lagrangian fillings, Archivum Mathematicum, Vol. 58 (2022), 287–293.

DOI: 10.5817/AM2022-5-287

• 18.  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

• 19. 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 

• 20. R. Golovko, On non-geometric augmentations in high dimensions, Geometriae Dedicata, 217, 104 (2023), 

DOI: 10.1007/s10711-023-00842-7

• 21. 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 

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

arXiv:1901.08415, 55 pages, accepted for publication in Communications in Analysis and Geometry.