Publications

PUBLISHED AND ACCEPTED:

with P. Biran and J.Zhang - Persistence K-theory, to appear in Quantum Topology, arXiv:2305.01370, 82 pages.

with P.Biran and J.Zhang - Triangulation, Persistence, and Fukaya categories, to appear in Memoirs of the European Mathematical Society, arXiv:2304.01785, 175 pages.

with P. Biran - Bounds on the Lagrangian spectral metric in cotangent bundles, Comm. Math. Helv. 96 (2021), 631–691 (pdf)

with P. Biran - A Lagrangian Pictionary, Kyoto Math. J. (invited contribution for a volume in honour of K. Fukaya) 61 (2021), 399-493 (pdf)

with P. Biran and E. Shelukhin - Lagrangian shadows and triangulated categories, Astérisque, 426 (2021), 128 pages (pdf).

with E. Shelukhin - Lagrangian cobordism and metric invariants, Journal of Differential Geometry, 112 (2019) 1-45 (pdf).

with P. Biran - Lagrangian cobordism in Lefschetz fibrations, Selecta Mathematica, 23 (2017) 2635- 2704 (pdf).

with F. Charette - Categorification of Seidel's representation, Israel Journal of Math., 211 (2016), 67-104 (pdf).

Lagrangian cobordism: Rigidity and Flexibility Aspects, Proceedings of the Inaugural Mathematical Congress of the Americas, AMS Contemporary Math. 656 (2016), 41-63 (pdf ).

with P. Biran - Lagangian Cobordism and Fukaya Categories (an earlier version had the title ``Lagrangian Cobordism II''), GAFA, 24 (2014) 1731–1830 (recent revision pdf).

with Paul Biran, Lagrangian Cobordism I, J. Amer. Math. Soc., 26 (2013), no. 2, 295-340 ( pdf).

with Paul Biran, Lagrangian topology and enumerative geometry, Geometry & Topology, 16 (2012), 963-1052 ( pdf).

with K. A. de Rezende, M.R. da Silveira, Spectral sequences in Conley's theory, Ergod. Th. & Dynam. Sys. (2010), 30, 1009-1054 (pdf file).

with Paul Biran, Rigidity and uniruling for Lagrangian manifolds, Geometry and Topology 13 (2009) 2881-2989 (pdf file )

with P. Biran, A Lagrangian Quantum Homology, New Perspectives and Challenges in Symplectic Field Theory, CRM Proceedings and Lecture Notes, 49 (2009), 1--44., CRM-AMS ( pdf file).

with J.-F. Barraud - Quantization of the Serre spectral sequence, Journal of Symplectic Geometry 5 (2007), 249-280 (abstract, pdf file).

with J.-F. Barraud - Lagrangian intersections and the Serre spectral sequence, Annals of Mathematics, 166 (2007), 657-722 (abstract, pdf file).

with F. Lalonde - Cluster Homology: an overwiev of the construction and results, ERA - AMS 12 (2006), 1-12 (abstract, pdf file).

with J.-F. Barraud - Homotopical dynamics in Symplectic Topology, in Morse theoretical Methods in Non-Linear Analysis and Symplectic Topology, Springer (2006) 109-148 (abstract, pdf file).

New obstructions to the thickenig of CW complexes, Proc. AMS 132 (2004), 2769-2781 ( abstract, pdf file ).

with A. Ranicki - Rigidity and Glueing for Morse and Novikov complexes, Journal of the European Math. Soc. 5 (2003) , 343-394 (abstract, pdf file).

Homotopical Dynamics IV: Hopf invariants and Hamiltonian flows, Communications on Pure and Applied Math.55 (2002) 1033-1088 (abstract , dvi file ).

Homotopical Dynamics II: Hopf invariants, smoothings and the Morse complex, Ann. Scient. Ec. Norm. Sup. 35 (2002) 549-573 (abstract, dvi file).

Homotopical Dynamics III: real singularities and Hamiltonian flows, Duke Mathematical Journal 109 (2001) 183--204
(abstract , dvi file).

Homotopical Dynamics: Suspension and Duality, Erg. Th. and Dyn. Syst. 20 - 2 (2000) 379--391 (abstract and dvi file).

Homotopical dynamics of gradient flows, Homotopy and Geometry, Banach Center Publications, 45 (1998), 41-46 ( abstract and dvi file).

Spanier-Whitehead duality and critical points, in Homotopy Theory via Algebraic Geometry and Group Representations, AMS Contemp. Math. 220 (1998) 47-63 (abstractanddvi file).

with Y.Felix and J.M.Lemaire - Rational Category and Cone-length of Poincaré Complexes, Topology 37 (1998) 743-748 ( abstract and dvi file).

Some properties of relative L.S.-category, Fields Inst. Commun. 19, AMS (1998) 67-72 (abstract and dvifile).

Cone-decompositions and degenerate critical points, Proceedings of the London Math. Soc 77 (1998) 437-461 ( abstract and dvifile).

Lusternik-Schnirelmann categorical sections,Ann.Scient.Ec.Norm.Sup. 28 (1995) 689-704 (abstract and dvi file).

Strong L.S.-category equals cone-length, Topology 34 (1995) 377-381(abstract and dvi file).

There is Just One Rational Cone-length, Transactions of the A.M.S. 4 (1994) 835-848 (abstractanddvi file).

Cone-length and Lusternik-Schnirelmann category, Topology 33 (1994) 95-111 (abstract and dvi file).

The Genus and the Fundamental Group of High Dimensional Manifolds , Stud.Cerc.Mat. 4(1989) (pdf)

Unele proprietati de separare ale hipersuprafetelor, Stud.Cerc.Mat. 4(1988). (pdf)

Weak Discontinuities and Discrete Approximations, An.Univ.Buch. 3(1988) (pdf)

Proprietati comune functiilor inchise si celor cu proprietatea lui Darboux, Stud.Cerc.Mat. 1(1987). (pdf)

BOOKS:

with G. Lupton, J.Oprea, D.Tanre - Lusternik Schnirelmann Category, AMS Surveys and Monographs Series, 2003

EDITOR:

with G. Lupton, J.Oprea, D.Tanre (editors) - Lusternik-Schnirelmann Category and Related Topics, Proceedings of the 2001 AMS-IMS-SIAM joint summer Research Conference, Contemporary Math. 316, 2002.

with P. Biran and F. Lalonde (editors) - Morse Tehoretical Methods in Non-Linear Analysis and Symplectic Topology, Springer 2006.

PREPRINTS:

with P. Biran and J. Zhang - Triangulation and Persistence: Algebra 101, preprint 2021, arXiv:2104.12258, 92 pages (later incorporated in Triangulation, Persistence, and Fukaya categories).

with P. Biran - Quantum structures for Lagrangian submanifolds, preprint 2007 (pdf).

with F. Lalonde - Cluster Homology, preprint 2005 (abstract, pdf).

OTHER:

Slides of a talk to a CIRM C0-symplectic topology conference (July 2023).

Slides of a talk at LP60: Symplectic and dynamics in honour of Leonid Polterovich's 60st birthday (June 2023).

Video interview as incoming CRM director (June 2021).

Slides of a Zoom talk at IHP (June 2021).

ZOOM-Sympl Seminar (27 march, 2020) pdf

Video of a talk at the Bernoulli Center of EPFL, August 2019.

Report on an RIP program (together with Paul Biran) at Oberwolfach, May 2017.

Video of a talk at the IAS/Princeton University symplectic seminar, September 2016
(Cost of splitting Lagrangians).

Slides of a talk on Immersed Cobordism, MIT, May 2016.

Slides of a talk at the PIMS Symposium on Geometry and Topology, June 2015.

Videos of a couple of talks at the Simons Center for Mathematics and Physics, Moduli Spaces
workshop in May-June 2014 (video 1, video 2).

Slides of a talk at the Mathematical Congress of the Americas'', August 2013 (video - and an
interview at the same conference).

Slides of a talk at ``D(ietmar Salamon's) - Days'' (ETH), June 2013.

Abstract of a talk at Oberwolfach, July 2012.

Audio: Lagrangian cobordism (talk at the Fields Institute, Geometry and Physics Conference, April 2011).

Video: Enumerative invariants and Lagrangian cobordism (talk at MSRI, March 2010).