Results 11 to 20 of about 409 (133)
Considering spatiotemporal evolutionary information in dynamic multi‐objective optimisation
CAAI 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
On finite type invariants of knots and 3-manifolds [PDF]
, 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
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The Seiberg-Witten equations on 3-manifolds with boundary [PDF]
, 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
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Heegaard Floer invariants of Legendrian knots in contact three--manifolds [PDF]
, 2009 We define invariants of null–homologous Legendrian and transverse knots in contact 3–manifolds. The invariants are determined by elements of the knot Floer homology of the underlying smooth knot.
Stipsicz, András I. +6 more
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The cobordism group of homology cylinders [PDF]
, 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 +6 more
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Geometric Invariants in Contact Structures on 3-Manifolds [PDF]
, 1999 Manifolds that have serious reasons to be odd-dimensional usually carry natural contact structures. — V. I. Arnold Contact structures are important geometric structures on smooth, odd-dimensional manifolds.
Zare, Douglas J.
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Primary decomposition in the smooth concordance group of topologically slice knots [PDF]
, 2021 We address primary decomposition conjectures for knot concordance groups,which predict direct sum decompositions into primary parts. We show that thesmooth concordance group of topologically slice knots has a large subgroup forwhich the conjectures are ...
Cha, J., Cha, Jae Choon, Jae Choon Cha
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MILNOR’S INVARIANTS FOR KNOTS AND LINKS IN CLOSED ORIENTABLE 3-MANIFOLDS [PDF]
, 2023 Thesis (Ph.D.) - Indiana University, Department of Mathematics, 2023In his 1957 paper, John Milnor introduced a collection of invariants for links in S3 detecting higher-order linking phenomena by studying lower central quotients of link groups and ...
Stees, Ryan
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Four-dimensional Manifolds [PDF]
, 2006 This workshop has provided a broad panorama of recent developments in the study of topological, smooth, and symplectic 4-manifolds.
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Quantum Invariants of Links and 3-Manifolds with Boundary defined via Virtual Links [PDF]
, 2023 We introduce new topological quantum invariants of compact oriented 3-manifolds with boundary where the boundary is a disjoint union of two identical surfaces.
Kauffman, Louis H., Ogasa, Eiji
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