• Home
  • Research
  • Events
  • Contact
Eaman Eftekhary
  • Home
  • Research
  • Events
  • Contacts


A Few Farsi Articles:

On Mathematical Work of Maryam Mirzakhani [pdf]
Mathematical Research in Iran and the Concern of Quality [pdf]
Discussions with Cedric Villani on Research Life in Mathematics [pdf]
Related Papers

Splicing Knot complements

Heegaard Floer homology of the 3-manifold which is obtained by splicing a pair of knot complements may be described in terms of the knot Floer complexes associated with the two knots. This description may then be used to show that if a homology sphere contains an incompressible torus then its Heegaard Floer groups are non-trivial.

Floer homology and splicing knot complements
Floer homology and existence of incompressible tori in homology spheres
Related Papers

The sutured Floer complex

Associated with the boundary of a sutured 3-manifold, together with A. Alishahi, we define an algebra, which is generated over the integers by variables which are in correspondence with the sutures. The sutured Floer complex associated with the sutured manifold is then defined as a chain complex with coefficients in this algebra. We are currently working on defining a corresponding cobordism map.

A refinement of sutured Floer homology (with A. S. Alishahi)
Related Papers

Tautological ring

Together with I. Setayesh, we have been exploring the kappa ring of the Delign-Mumford compactifiaction of the moduli space of curves with markings. In particular, we have been able to compute the asymptotic growth of the rank of this ring.

On the structure of the kappa ring (with I. Setayesh)
On the kappa ring of \Mbar_{g,n} (with I. Setayesh)

Heegaard Floer homology and the fundamental group

In collaboration with A. Kamalinejad and N. Bagherifard we have started the study of the link between Heegaard Floer homology and the balanced presentations of the fundamental group of a given closed manifold.

Published


Selected Preprints

  • On the structure of the kappa ring,
    with I. Setayesh, to appear in IMRN.
  • On the kappa ring of \Mbar_{g,n},
    with I. Setayesh, Adv. Math. 298 (2016) 89-121.
  • Finiteness and rigidity of J-holomorphic curves in symplectic 3-folds
    Adv. Math. 289 (2016) 1082-1105.
  • Floer homology and splicing knot complements,
    to appear in Algebr. Geom. Topol.
  • A refinement of sutured Floer homology
    with A. S. Alishahi,  J. Symplectic Geom. 13 (2015), no. 3, 609-743.
  • Knots which admit a surgery with simple knot Floer groups
    Algebr. Geom. Topol. 11 (2011), no. 3, 1243-1256.
  • A combinatorial approach to surgery formulas in Heegaard Floer homology
    Algebr. Geom. Topol. 9 (2009), no. 4, 2225-2246.
  • Longitude Floer homology and the Whitehead double
    Algebr. Geom. Topol. 5 (2005), 1389-1418.
  • Floer homology of certain pseudo-Anosov maps
    J. Symplectic Geom. 2 (2004), no. 3, 357-375.

  • Floer homology and incompressible tori in homology spheres
    Preprint.
G&T

IPM Geometry and Topology Seminar

The weekly seminar at IPM on Geometry and Topology is currently organized by A. Kamlinejad on Thursdays from 2pm to 4pm.
FMS

Frontiers in Mathematical Sciences

I am a member of the organizing committee of the annual conference "Frontiers in Mathematical Sciences", which is a gathering of Iranian Mathematicians.
MCM

Meetings on Contemporary Mathematics

Together with Meysam Nassiri, I co-organize Meetings on Contemporary Mathematics at IPM. MCM is organized 2 or 3 times each year, with the goal of introducing active areas of contemporary research in mathematics to the Iranian mathematics community.
CQM

IPM Mathematics Colloquium

Here, you may find a link to IPM Mathematics Colloquium which is organized every month in Niavaran building.

IPM Links


  • IPM School of Mathematics


  • IPM Library


  • Commutative Algebra Group @ Math.IPM


  • Combinatorics and Computation Group @ Math.IPM


  • Logic Group @ Math.IPM


  • IPM photo Gallery


Useful Links


  • Knot Atlas


  • Geometry and Topology conferences


  • Gokova Geometry and Topology conferences


  • Sharif Univ. Of Technology, Dept. of Mathematics


  • Mathematical Sciences Research Institute


  • Simons Center for Geometry and Physics


  • IAS School of Mathematics

contact map

Contact Information


  • School of Mathematics,
    Niavaran Building,
    Institute for Research in Fundamental Sciences (IPM),
    Niavaran Square, Tehran, Iran
    P.O. Box 19395-5746


  • +98-21-2310-Ext 2111


  • +98-21-22290648


  • eaman@ipm.ir


  • My Curriculum vitae

contact map
Eaman Eftekhary, Associate Professor and Vice Head, School of Mathematics, Institute for Research in Fundamental Sciences (IPM).