Publications


PUBLISHED AND ACCEPTED:

with E. Shelukhin - Lagrangian cobordism and metric invariants, to appear in Journal of Differential Geometry (pdf)

with P. Biran - Lagrangian cobordism in Lefschetz fibrations, Selecta Mathematica (2017) (first online), 1-70 (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  (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 geometryGeometry & 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 manifoldsGeometry and Topology 13 (2009) 2881-2989 (pdf file )

with P. Biran, A Lagrangian Quantum HomologyNew 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 (abstractpdf  file).

with J.-F. Barraud - Lagrangian intersections and the Serre spectral sequence,   Annals of Mathematics, 166 (2007), 657-722  (abstractpdf  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 complexesProc. 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 dvifile).

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

Spanier-Whitehead duality and critical pointsin 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).

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

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

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


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

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

OTHER:

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 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).

Abstract of a talk at Oberwolfach, July 2010.

Slides of a talk at a MSRI workshop, August 2009.

Slides of a plenary talk at the AMS-Worcester sectional meeting, April 2009.

Abstract of a talk at Oberwolfach, September 2008 (photo of the conference).

Slides of a talk at ETH, September 2007

Abstract of a talk at Oberwolfach, July 2006.

Slides of lectures in Leiden, April 2006.

Slides of  lectures at the Seminaire de Math. Sup., 2004.