BIMSA >
Moscow-Beijing topology seminar
The band connected sum and the second Kirby move for higher-dimensional links
The band connected sum and the second Kirby move for higher-dimensional links
Organizers
Vassily Manturov
, Shiquan Ren
,
Zhe Yan Wan
Speaker
Arkadiy Skopenkov
Time
Wednesday, August 21, 2024 3:30 PM - 5:00 PM
Venue
A3-2-301
Online
Zoom 831 5020 0580
(141592)
Abstract
Let be an (ordered oriented) link (i.e. an embedding).
How does (the isotopy class of) the knot obtained by embedded connected sum of the components of depend on ?
Define a link as follows.
The first component of is the `standardly shifted' first component of .
The second component of is the embedded connected sum of the components of .
How does (the isotopy class of) depend on ?
How does (the isotopy class of) the link obtained by embedded connected sum of the last two components of a link depend on ?
We give the answers for the `first non-trivial case' and .
The first answer was used by S. Avvakumov for classification of linked 3-manifolds in .
How does (the isotopy class of) the knot
Define a link
The first component of
The second component of
How does (the isotopy class of)
How does (the isotopy class of) the link
We give the answers for the `first non-trivial case'
The first answer was used by S. Avvakumov for classification of linked 3-manifolds in