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20032024
most citedHomological algebra related to surfaces with boundary

34 citations · 93 across the 12 of their papers we have counts for

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Showing math.SGShow all

9 papers · 1 filter

math.SG2024

BV bialgebra structures in Floer theory and string topology

Janko Latschev, Alexandru Oancea

We derive the notions of BV unital infinitesimal bialgebra and BV Frobenius algebra from the topology of suitable compactifications of moduli spaces of decorated genus 0 curves. We…

math.SG2022

Remarks on the rational SFT formalism

Janko Latschev

Recent work of Siegel and of Moreno and Zhou uses rational symplectic field theory to construct (different) invariants of contact manifolds. Here, I review how the algebraic parts…

math.SG2016★ 3 cited

Knot contact homology, string topology, and the cord algebra

Kai Cieliebak, Tobias Ekholm, Janko Latschev +1

The conormal Lagrangian of a knot in is the submanifold of the cotangent bundle consisting of covectors along that annihilate tangen…

math.SG2014★ 1 cited

Fukaya's work on Lagrangian embeddings

Janko Latschev

This is an expository account of some applications of string topology to the study of Lagrangian embeddings into symplectic manifolds, originally due to Fukaya, which was written a…

math.SG2011★ 22 cited

The Gromov width of 4-dimensional tori

Janko Latschev, Dusa McDuff, Felix Schlenk

We show that every 4-dimensional torus with a linear symplectic form can be fully filled by one symplectic ball. If such a torus is not symplectomorphic to a product of 2-dimension…

math.SG2010★ 24 cited

Algebraic Torsion in Contact Manifolds

Janko Latschev, Chris Wendl

We extract a nonnegative integer-valued invariant, which we call the "order of algebraic torsion", from the Symplectic Field Theory of a closed contact manifold, and show that its…