[K-OS] Knot Online Seminar
[K-OS] is an online research seminar which focuses on knot
theory and low-dimensional topology. Talks will be delivered
by authors of recent arXiv articles of significant interest.
It happens the 3rd Thursday of every month
from 16:15 to 17:15
(
CET/CEST Berlin,
Brussels, Madrid, Paris, Rome, Vienna, Warsaw, Zurich)
on
Zoom.
It is organized by
Alexandra
Kjuchukova,
Lukas
Lewark,
Delphine
Moussard
and
Emmanuel
Wagner.
It benefits from logistical support from
the
CNRS, the university
of
Paris and the
ETHZ.
If there is a recent arXiv preprint which you would like to see featured on the seminar, please email the organizers with your suggestion.
The K-OS talks are also listed in a
Google Calendar.
Forthcoming Talks
July / August 2025
18 September 2025
- Speaker: Ciprian Manolescu (Stanford University)
- Title: Real Heegaard Floer Homology (on 2504.09034).
- Abstract: There has been a burst of interest in gauge theoretic invariants of 3- and 4-manifolds equipped with an involution, due to work of Tian-Wang, Nakamura, Konno-Miyazawa-Taniguchi, and Li. Notably, Miyazawa proved the existence of an infinite family of exotic RP2-knots using real Seiberg-Witten theory. In joint work with Gary Guth, we construct an invariant of based 3-manifolds with an involution, called real Heegaard Floer homology. Applying this to double branched covers, we obtain a knot invariant. Its Euler characteristic is the Heegaard Floer analogue of Miyazawa’s invariant, and is algorithmically computable in our setting; interestingly, it takes the value 1 for all knots up to 8 crossings, but not in general.
23 October 2025
20 November 2025
18 December 2025
