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# Lalonde, François

Full Professor

Faculty of Arts and Science - Department of Mathematics and Statistics

514 343-6707

### Affiliations

• Membre Centre de recherches mathématiques
• Titulaire Chaire de recherche du Canada en géométrie différentielle et topologie
• Membre CRM  Centre de recherches mathématiques

### Selected publications Expand allCollapse all

#### An example concerning Hamiltonian groups of self product II

Hu, Shengda et Lalonde, François, An example concerning Hamiltonian groups of self product II 14, 234--247 (2013), , Afr. Diaspora J. Math.

#### An example concerning Hamiltonian groups of self product I

Hu, Shengda et Lalonde, François, An example concerning Hamiltonian groups of self product I 14, 227--233 (2013), , Afr. Diaspora J. Math.

#### The $g$-areas and the commutator length

Lalonde, François et Teleman, Andrei, The $g$-areas and the commutator length 24, 1350057, (2013), , Internat. J. Math.

#### The Hofer Geometry of Surfaces, preprint

F. Lalonde and Y. Savelyev, The Hofer Geometry of Surfaces, preprint , (2012), ,

#### Homological Lagrangian Monodromy

S. Hu, F. Lalonde and R. Leclercq, Homological Lagrangian Monodromy 15, 1617-1650 (2011), , Geometry and Topology

#### g-areas and commutator length, preprint

F. Lalonde and A. Teleman, g-areas and commutator length, preprint , (2011), ,

#### Minimality in the Hofer geometry of Lagrangians, preprint

E. Kerman and F. Lalonde, Minimality in the Hofer geometry of Lagrangians, preprint , (2011), ,

#### Non-splitting of certain groups of Hamiltonian diffeomorphisms, preprint

S. Hu and F. Lalonde, Non-splitting of certain groups of Hamiltonian diffeomorphisms, preprint , (2011), ,

#### New Perspectives and Challenges in Symplectic Field Theory

M. Abreu, F. Lalonde, L.Polterovich (eds), New Perspectives and Challenges in Symplectic Field Theory 49,, 342 (2009), , The CRM Proceedings and Lecture Notes

#### A relative Seidel morphism and the Albers map

S. Hu and F. Lalonde, A relative Seidel morphism and the Albers map 362, 1135-1168 (2009), , Trans. Amer. Math. Soc.

#### The homotopy type of the space of symplectic balls in rational ruled 4-manifolds

S. Anjos, F. Lalonde and M. Pinsonnault, The homotopy type of the space of symplectic balls in rational ruled 4-manifolds 13, 1177-1227 (2009), , Geometry and Topology

#### The full homotopy type of symplectic balls in $S^2 \times S^2$ above the critical value, preprint arXiv:math/0406129

S. Anjos and F. Lalonde, The full homotopy type of symplectic balls in $S^2 \times S^2$ above the critical value, preprint arXiv:math/0406129 , (2008), 23 pages ,

#### Anti-symplectic involutions and Maslov indices, preprint

S. Hu and F. Lalonde, Anti-symplectic involutions and Maslov indices, preprint , (2008), 18 pages ,

#### The topology of the space of symplectic balls in $S^2 \times S^2$

S. Anjos and F. Lalonde, The topology of the space of symplectic balls in $S^2 \times S^2$ 345, 639-642 (2007), , C. R. Acad. Sci. Paris, Ser. I

#### Lagrangian submanifolds: from the local model to the cluster complex

F. Lalonde, Lagrangian submanifolds: from the local model to the cluster complex , 456-477 (2006), , Proceedings of the International Congress of Mathematicians

#### Cluster homology: an overview of the construction and results

O. Cornea and F. Lalonde, Cluster homology: an overview of the construction and results 12, 1-12 (2006), , ERA-AMS

#### Cluster Homology

O. Cornea and F. Lalonde, Cluster Homology , (2006), 56 pages , ArXiv Math.SG/0508345

#### Morse theoretical methods in symplectic topology and non-linear analysis

P. Biran, O. Cornea and F. Lalonde (eds), Morse theoretical methods in symplectic topology and non-linear analysis Kluwer Academic Publishers,, Dordrecht (2005), , Proceedings of the NATO Advanced Study Institute (Montréal, 2004),

#### Errata to: Symplectic structures on fiber bundles''

Lalonde, François et McDuff, Dusa, Errata to: Symplectic structures on fiber bundles'' 44, 1301--1303 (2005), , Topology

#### A field theory for symplectic fibrations over surfaces with applications

F. Lalonde, A field theory for symplectic fibrations over surfaces with applications 8, 1189-1226 (2004), , Geometry and Topology

#### The topology of the space of symplectic balls in rational 4-manifolds

F. Lalonde and M. Pinsonnault, The topology of the space of symplectic balls in rational 4-manifolds 122, 347-397 (2004), , Duke Mathematical Journal

#### Symplectic and Contact Topology: Interactions and Perspectives

Y. Eliashberg, B. Khesin and F. Lalonde (eds), Symplectic and Contact Topology: Interactions and Perspectives Fields Institute Communications 35,, AMS (2003), , Proceedings of the workshop on ''Symplectic topology and higher dimensional Gauge invariants'' (held at the Fields Institute in March-April 2001),

#### Length minimizing Hamiltonian paths for symplectically aspherical manifolds

Kerman, E. et Lalonde, F., Length minimizing Hamiltonian paths for symplectically aspherical manifolds 53, 1503--1526 (2003), , Ann. Inst. Fourier (Grenoble)

#### Symplectic structures on fiber bundles

F. Lalonde and D. McDuff, Symplectic structures on fiber bundles 42, 309-347 (2003), , Topology

#### Length minimising paths for symplectically aspherical manifolds

E. Kerman and F. Lalonde, Length minimising paths for symplectically aspherical manifolds 53, 1503-1526 (2003), , Ann. Inst. Fourier

#### Cohomological properties of ruled symplectic structures on manifolds, Mirror Symmetry IV

F. Lalonde and D. McDuff, Cohomological properties of ruled symplectic structures on manifolds, Mirror Symmetry IV 33, 79- (2002), , AMS/IP Studies in Advanced Mathematics

#### Groupes d'automorphismes et plongements symplectiques de boules dans les variétés rationelles

F. Lalonde and M. Pinsonnault, Groupes d'automorphismes et plongements symplectiques de boules dans les variétés rationelles 335, 931-934 (2002), , C.R. Acad. Sci. Paris, Ser. I

#### Holomorphic cylinders with Lagrangian boundaries and Hamiltonian dynamics

D. Gatien and F. Lalonde, Holomorphic cylinders with Lagrangian boundaries and Hamiltonian dynamics 102, 485 (2000), , Duke Mathematical Journal

#### Stabilisation of symplectic inequalities and applications

F. Lalonde et C. Pestieau, Stabilisation of symplectic inequalities and applications 196, 63-72 (1999), , Amer. Math. Soc. Translations, Series 2

#### Topological rigidity of Hamiltonian loops and quantum homology

F. Lalonde, D. McDuff and L. Polterovich, Topological rigidity of Hamiltonian loops and quantum homology 135, 369-385 (1999), , Inventiones Mathematicae

#### On the Flux conjectures

F. Lalonde, D. McDuff and L. Polterovich, On the Flux conjectures 15, 69-86 (1998), , CRM Proceedings and Lecture Notes, American Mathematical Society

#### Proceedings of the CRM Workshop on Geometry, Topology and Dynamics (Montréal 1995)

F. Lalonde (ed.), Proceedings of the CRM Workshop on Geometry, Topology and Dynamics (Montréal 1995) 15,, AMS (1998), , CRM Proceedings and Lecture Notes

#### Gauge Theory and Symplectic Geometry

J. Hurtubise and F. Lalonde (eds), Gauge Theory and Symplectic Geometry Kluwer Academic Publishers,, Dordrecht (1997), , Proceedings of the NATO Summer Advanced Institute on Gauge Theory and Symplectic Geometry (Montréal 1995),

#### Energy and capacities in symplectic topology, in:

F. Lalonde, Energy and capacities in symplectic topology, in: 2, 328-374 (1997), , W.H. Kazez (ed.), Geometric Topology, Studies in Advanced Mathematics, American Mamthematical Society and International Press

#### Symplectic diffeomorphisms as isometries of Hofer's norm

F. Lalonde and L. Polterovich, Symplectic diffeomorphisms as isometries of Hofer's norm 36, 711-728 (1997), , Topology

#### J-curves and symplectic invariants, in:

F. Lalonde, J-curves and symplectic invariants, in: , (1997), , J. Hurtubise and F. Lalonde (eds), Proceedings of the NATO Summer Advanced Institute (SMS) on Gauge Theory and Symplectic Geometry Université de Montréal 1995, Kluwer Academic Publishers, Dordrecht

#### New trends in symplectic geometry

F. Lalonde, New trends in symplectic geometry 19 (2), 33-50 (1997), , invited survey in the new series of C.R. Math. Rep. Acad. Sci. Canada

#### Positive paths in the linear symplectic group

F. Lalonde and D. McDuff, Positive paths in the linear symplectic group , 1-20 (1997), , The Arnold-Gelfand seminar, Birkhauser

#### J-holomorphic curves and the classification of rational and ruled symplectic 4-manifolds

F. Lalonde and D. McDuff, J-holomorphic curves and the classification of rational and ruled symplectic 4-manifolds , 1-40 (1996), , C.B. Thomas (ed.), Symplectic and Contact Geometry, Proceedings of the Newton Institute Special Year on Symplectic Geometry, Cambridge University Press

#### The classification of ruled symplectic 4-manifolds

F. Lalonde and D. McDuff, The classification of ruled symplectic 4-manifolds 3, 769-778 (1996), , Mathematical Research Letters

#### Errata: Hofer's $L^infty$-geometry: energy and stability of Hamiltonian flows. I, II''

Lalonde, F. et McDuff, D., Errata: Hofer's $L^infty$-geometry: energy and stability of Hamiltonian flows. I, II'' 123, 613 (1996), , Invent. Math.

#### Hofer's $L^{\infty}$-geometry: energy and stability of Hamiltonian flows part I

F. Lalonde and D. McDuff, Hofer's $L^{\infty}$-geometry: energy and stability of Hamiltonian flows part I 122, 1-34 (1995), , Inventiones Mathematicae

#### Hofer's $L^{\infty}$-geometry: energy and stability of Hamiltonian flows part II

F. Lalonde and D. McDuff, Hofer's $L^{\infty}$-geometry: energy and stability of Hamiltonian flows part II 122, 35-69 (1995), , Inventiones Mathematicae

#### The geometry of symplectic energy

F. Lalonde and D. McDuff, The geometry of symplectic energy 141, 349-371 (1995), , Annals of Mathematics

#### Local Non-Squeezing Theorems and Stability

F. Lalonde and D. McDuff, Local Non-Squeezing Theorems and Stability , 364 (1995), , Geometric and Functional Analalysis 5 (Special volume in the honour of M. Gromov)

#### Isotopy of symplectic balls, Gromov's radius and the structure of ruled symplectic $4$-manifolds

Lalonde, François, Isotopy of symplectic balls, Gromov's radius and the structure of ruled symplectic $4$-manifolds 300, 273--296 (1994), , Math. Ann.

#### Symplectic rigidity: Lagrangian submanifolds

M. Audin, F. Lalonde and L. Polterovich, Symplectic rigidity: Lagrangian submanifolds 117, 271-322 (1994), , M. Audin and J. Lafontaine (eds.), Holomorphic Curves in Symplectic Geometry, Progress in Mathematics

#### Isotopy of symplectic balls, Gromov's radius, and the structure of irrational ruled symplectic 4-manifolds

F. Lalonde, Isotopy of symplectic balls, Gromov's radius, and the structure of irrational ruled symplectic 4-manifolds 300, 273-296 (1994), , Mathematische Annalen

#### Suppression lagrangienne de points doubles et rigidité symplectique

Lalonde, François, Suppression lagrangienne de points doubles et rigidité symplectique 36, 747--764 (1992), , J. Differential Geom.

#### Hamiltonian collapsing of irrational Lagrangian submanifolds with small first Betti number

Lalonde, François, Hamiltonian collapsing of irrational Lagrangian submanifolds with small first Betti number 149, 613--622 (1992), , Comm. Math. Phys.

#### Sous-variétés lagrangiennes et lagrangiennes exactes des fibrés cotangents

Lalonde, François et Sikorav, Jean-Claude, Sous-variétés lagrangiennes et lagrangiennes exactes des fibrés cotangents 66, 18--33 (1991), , Comment. Math. Helv.

#### Classes caractéristiques isotropes

Lalonde, François, Classes caractéristiques isotropes 285, 343--351 (1989), , Math. Ann.

#### Homologie de Shih d'une submersion (homologies non singulières des variétés feuilletées)

Lalonde, François, Homologie de Shih d'une submersion (homologies non singulières des variétés feuilletées) , iv+101 (1987), , Mém. Soc. Math. France (N.S.)

#### Homologies de Shih: définition et propriétés

Lalonde, François, Homologies de Shih: définition et propriétés 39, 748--768 (1987), , Canad. J. Math.

#### Homologie de Shih d'une submersion

Lalonde, François, Homologie de Shih d'une submersion 299, 1025--1028 (1984), , C. R. Acad. Sci. Paris Sér. I Math.

#### Homologie de plongements dans les variétés différentiables

Lalonde, François, Homologie de plongements dans les variétés différentiables 299, 987--990 (1984), , C. R. Acad. Sci. Paris Sér. I Math.

#### Homologie de plongements dans les espaces euclidiens

Lalonde, François, Homologie de plongements dans les espaces euclidiens 297, 659--662 (1983), , C. R. Acad. Sci. Paris Sér. I Math.

#### Le problème d'étoiles pour graphes est NP-complet

Lalonde, François, Le problème d'étoiles pour graphes est NP-complet 33, 271--280 (1981), , Discrete Math.