The formula introduced by Robert Lipshitz for Heegaard Floer
homology is now one of the basic tools for those working with HF
homology. The convenience of the formula is due to its
combinatorial nature. In the talk, we will discuss the
recent...
The question of whether a Symplectic manifold embeds into
another is central in Symplectic topology. Since Gromov
nonsqueezing theorem, it is known that this is a different problem
from volume preserving embeddings. Symplectic capacities are...
Donaldson-Thomas (DT) invariants of a quiver with potential can
be expressed in terms of simpler attractor DT invariants by a
universal formula. The coefficients in this formula are calculated
combinatorially using attractor flow trees. In joint...
The duality long exact sequence relates linearised Legendrian
contact homology and cohomology and was originally constructed by
Sabloff in the case of Legendrian knots. We show how the duality
long exact sequence can be generalised to a relative...
In this talk we discuss the existence of a new type of rigidity
of symplectic embeddings coming from obligatory intersections with
symplectic planes. This is based on a joint work with P.
Haim-Kislev and R. Hind.
For a compact subset K of a closed symplectic manifold,
Entov-Polterovich introduced the notion of (super)heaviness, which
reveals surprising symplectic rigidity. When K
is a Lagrangian submanifold, there is a well-established
criterion for its...
In this talk, based on joint work with Gonzalo Contreras, I will
briefly sketch the proof of the existence of global surfaces of
section for the Reeb flows of closed 3-manifolds satisfying a
condition à la Kupka-Smale: non-degeneracy of the closed...
Lagrangian Floer theory is a useful tool for studying the
structure of the homology of Lagrangian submanifolds. In some
cases, it can be used to detect more- we show it can detect the
framed bordism class of certain Lagrangians and in
particular...
We discuss the relation between hypersurface singularities (e.g.
ADE, E˜6,E˜7,E˜8, etc) and spectral invariants, which are
symplectic invariants coming from Floer theory.
Filtered Lagrangian Floer homology gives rise to a barcode
associated to a pair of Lagrangians. It is well-known that
the lengths of the finite bars and the spectral distance are lower
bounds of the Lagrangian Hofer metric. In this talk we are...
