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The Resource SurfaceKnots in 4Space : An Introduction, by Seiichi Kamada, (electronic resource)
SurfaceKnots in 4Space : An Introduction, by Seiichi Kamada, (electronic resource)
Resource Information
The item SurfaceKnots in 4Space : An Introduction, by Seiichi Kamada, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item SurfaceKnots in 4Space : An Introduction, by Seiichi Kamada, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This introductory volume provides the basics of surfaceknots and related topics, not only for researchers in these areas but also for graduate students and researchers who are not familiar with the field. Knot theory is one of the most active research fields in modern mathematics. Knots and links are closed curves (onedimensional manifolds) in Euclidean 3space, and they are related to braids and 3manifolds. These notions are generalized into higher dimensions. Surfaceknots or surfacelinks are closed surfaces (twodimensional manifolds) in Euclidean 4space, which are related to twodimensional braids and 4manifolds. Surfaceknot theory treats not only closed surfaces but also surfaces with boundaries in 4manifolds. For example, knot concordance and knot cobordism, which are also important objects in knot theory, are surfaces in the product space of the 3sphere and the interval. Included in this book are basics of surfaceknots and the related topics of classical knots, the motion picture method, surface diagrams, handle surgeries, ribbon surfaceknots, spinning construction, knot concordance and 4genus, quandles and their homology theory, and twodimensional braids
 Language
 eng
 Extent
 XI, 212 p. 146 illus.
 Contents

 1 Surfaceknots
 2 Knots
 3 Motion pictures
 4 Surface diagrams
 5 Handle surgery and ribbon surfaceknots
 6 Spinning construction
 7 Knot concordance
 8 Quandles
 9 Quandle homology groups and invariants
 10 2Dimensional braids
 Bibliography
 Epilogue
 Index
 Isbn
 9789811040917
 Label
 SurfaceKnots in 4Space : An Introduction
 Title
 SurfaceKnots in 4Space
 Title remainder
 An Introduction
 Statement of responsibility
 by Seiichi Kamada
 Language
 eng
 Summary
 This introductory volume provides the basics of surfaceknots and related topics, not only for researchers in these areas but also for graduate students and researchers who are not familiar with the field. Knot theory is one of the most active research fields in modern mathematics. Knots and links are closed curves (onedimensional manifolds) in Euclidean 3space, and they are related to braids and 3manifolds. These notions are generalized into higher dimensions. Surfaceknots or surfacelinks are closed surfaces (twodimensional manifolds) in Euclidean 4space, which are related to twodimensional braids and 4manifolds. Surfaceknot theory treats not only closed surfaces but also surfaces with boundaries in 4manifolds. For example, knot concordance and knot cobordism, which are also important objects in knot theory, are surfaces in the product space of the 3sphere and the interval. Included in this book are basics of surfaceknots and the related topics of classical knots, the motion picture method, surface diagrams, handle surgeries, ribbon surfaceknots, spinning construction, knot concordance and 4genus, quandles and their homology theory, and twodimensional braids
 http://library.link/vocab/creatorName
 Kamada, Seiichi
 Image bit depth
 0
 LC call number
 QA440699
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Springer Monographs in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Geometry
 Algebraic topology
 Manifolds (Mathematics)
 Complex manifolds
 Mathematics
 Geometry
 Algebraic Topology
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Label
 SurfaceKnots in 4Space : An Introduction, by Seiichi Kamada, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 1 Surfaceknots  2 Knots  3 Motion pictures  4 Surface diagrams  5 Handle surgery and ribbon surfaceknots  6 Spinning construction  7 Knot concordance  8 Quandles  9 Quandle homology groups and invariants  10 2Dimensional braids  Bibliography  Epilogue  Index
 Dimensions
 unknown
 Extent
 XI, 212 p. 146 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9789811040917
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9789811040917
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9789811040917
 Label
 SurfaceKnots in 4Space : An Introduction, by Seiichi Kamada, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 1 Surfaceknots  2 Knots  3 Motion pictures  4 Surface diagrams  5 Handle surgery and ribbon surfaceknots  6 Spinning construction  7 Knot concordance  8 Quandles  9 Quandle homology groups and invariants  10 2Dimensional braids  Bibliography  Epilogue  Index
 Dimensions
 unknown
 Extent
 XI, 212 p. 146 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9789811040917
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9789811040917
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9789811040917
Subject
 Algebraic Topology
 Algebraic Topology
 Algebraic topology
 Algebraic topology
 Complex manifolds
 Complex manifolds
 Electronic resources
 Geometry
 Geometry
 Manifolds (Mathematics)
 Manifolds (Mathematics)
 Manifolds (Mathematics)
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Mathematics
 Mathematics
Member of
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