Results 11 to 20 of about 613 (131)

Considering spatiotemporal evolutionary information in dynamic multi‐objective optimisation

open access: yesCAAI Transactions on Intelligence Technology, EarlyView., 2023
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]

open access: yes, 2008
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]

open access: yes, 1999
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]

open access: yes, 2010
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]

open access: yes, 2016
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]

open access: yes, 2008
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]

open access: yes, 2006
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]

open access: yes, 2015
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]

open access: yes, 2012
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

James bundles [PDF]

open access: yes, 2004
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

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