Results 11 to 20 of about 613 (131)
Considering spatiotemporal evolutionary information in dynamic multi‐objective optimisation
Abstract Preserving population diversity and providing knowledge, which are two core tasks in the dynamic multi‐objective optimisation (DMO), are challenging since the sampling space is time‐ and space‐varying. Therefore, the spatiotemporal property of evolutionary information needs to be considered in the DMO.
Qinqin Fan +3 more
wiley +1 more source
Two constructions of weight systems for invariants of knots in non-trivial 3-manifolds [PDF]
A new family of weight systems of finite type knot invariants of any positive degree in orientable 3-manifolds with non-trivial first homology group is constructed.
Vassiliev, V. +3 more
core +2 more sources
The Seiberg-Witten equations on 3-manifolds with boundary [PDF]
The Seiberg-Witten equations have proved to be quite powerful in studying smooth 4-manifolds since their landing in 1994. The corresponding Seiberg-Witten theory on closed 3-manifolds can either be obtained by a dimension reduction from the four ...
Yang, Qing
core +1 more source
The cobordism group of homology cylinders [PDF]
Garoufalidis and Levine introduced the homology cobordism group of homology cylinders over a surface. This group can be regarded as an enlargement of the mapping class group.
Friedl, Stefan +5 more
core +1 more source
On finite type invariants of knots and 3-manifolds [PDF]
埼玉大学博士(理学)44 p.1 Introduction 2 2 Preliminaries 4 2.1 Knots and their diagrams . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Quantum invariants . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3 Vassiliev invariants (Finite type invariants). . .
阿部, 翠空星, アベ, スクセ
core +1 more source
Unknotting information from Heegaard Floer homology [PDF]
We use Heegaard Floer homology to obtain bounds on unknotting numbers. This is a generalisation of Ozsváth and Szabó's obstruction to unknotting number one.
Owens, Brendan, Brendan Owens, Owens, B.
core +1 more source
Positive tree-like mapping classes [PDF]
In this paper we will study special mapping classes of orientable surfaces with one boundary component. A mapping class is an element of the mapping class group. The mapping class group for an orientable surface S with boundary is defined as MCG(S) =
Gerber, Yvonne
core +1 more source
Tête-à-tête : graphs and twists [PDF]
This is a PhD thesis in the mathematical field of low-dimensional topology. Its main purpose is to examine so-called tête-à-tête twists, which were defined by A'Campo.
Graf, Christian
core +1 more source
Dehn surgeries and negative-definite four-manifolds [PDF]
Given a knot <i>K</i> in the three-sphere, we address the question: Which Dehn surgeries on <i>K</i> bound negative-definite four-manifolds?
Strle, Sašo, Owens, Brendan
core +1 more source
We study cubical sets without degeneracies, which we call {square}-sets. These sets arise naturally in a number of settings and they have a beautiful intrinsic geometry; in particular a {square}-set C has an infinite family of associated {square}-sets Ji(
Colin Rourke +8 more
core +1 more source

