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The Resource Surface-Knots in 4-Space : An Introduction, by Seiichi Kamada, (electronic resource)
Surface-Knots in 4-Space : An Introduction, by Seiichi Kamada, (electronic resource)
Resource Information
The item Surface-Knots in 4-Space : 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 Surface-Knots in 4-Space : 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 surface-knots 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 (one-dimensional manifolds) in Euclidean 3-space, and they are related to braids and 3-manifolds. These notions are generalized into higher dimensions. Surface-knots or surface-links are closed surfaces (two-dimensional manifolds) in Euclidean 4-space, which are related to two-dimensional braids and 4-manifolds. Surface-knot theory treats not only closed surfaces but also surfaces with boundaries in 4-manifolds. For example, knot concordance and knot cobordism, which are also important objects in knot theory, are surfaces in the product space of the 3-sphere and the interval. Included in this book are basics of surface-knots and the related topics of classical knots, the motion picture method, surface diagrams, handle surgeries, ribbon surface-knots, spinning construction, knot concordance and 4-genus, quandles and their homology theory, and two-dimensional braids
- Language
- eng
- Extent
- XI, 212 p. 146 illus.
- Contents
-
- 1 Surface-knots
- 2 Knots
- 3 Motion pictures
- 4 Surface diagrams
- 5 Handle surgery and ribbon surface-knots
- 6 Spinning construction
- 7 Knot concordance
- 8 Quandles
- 9 Quandle homology groups and invariants
- 10 2-Dimensional braids
- Bibliography
- Epilogue
- Index
- Isbn
- 9789811040917
- Label
- Surface-Knots in 4-Space : An Introduction
- Title
- Surface-Knots in 4-Space
- Title remainder
- An Introduction
- Statement of responsibility
- by Seiichi Kamada
- Language
- eng
- Summary
- This introductory volume provides the basics of surface-knots 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 (one-dimensional manifolds) in Euclidean 3-space, and they are related to braids and 3-manifolds. These notions are generalized into higher dimensions. Surface-knots or surface-links are closed surfaces (two-dimensional manifolds) in Euclidean 4-space, which are related to two-dimensional braids and 4-manifolds. Surface-knot theory treats not only closed surfaces but also surfaces with boundaries in 4-manifolds. For example, knot concordance and knot cobordism, which are also important objects in knot theory, are surfaces in the product space of the 3-sphere and the interval. Included in this book are basics of surface-knots and the related topics of classical knots, the motion picture method, surface diagrams, handle surgeries, ribbon surface-knots, spinning construction, knot concordance and 4-genus, quandles and their homology theory, and two-dimensional braids
- http://library.link/vocab/creatorName
- Kamada, Seiichi
- Image bit depth
- 0
- LC call number
- QA440-699
- 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
- Surface-Knots in 4-Space : 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 Surface-knots -- 2 Knots -- 3 Motion pictures -- 4 Surface diagrams -- 5 Handle surgery and ribbon surface-knots -- 6 Spinning construction -- 7 Knot concordance -- 8 Quandles -- 9 Quandle homology groups and invariants -- 10 2-Dimensional 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
- 10.1007/978-981-10-4091-7
- Other physical details
- online resource.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (DE-He213)978-981-10-4091-7
- Label
- Surface-Knots in 4-Space : 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 Surface-knots -- 2 Knots -- 3 Motion pictures -- 4 Surface diagrams -- 5 Handle surgery and ribbon surface-knots -- 6 Spinning construction -- 7 Knot concordance -- 8 Quandles -- 9 Quandle homology groups and invariants -- 10 2-Dimensional 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
- 10.1007/978-981-10-4091-7
- Other physical details
- online resource.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (DE-He213)978-981-10-4091-7
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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.bu.edu/portal/Surface-Knots-in-4-Space--An-Introduction-by/yUO4VVloYMM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/Surface-Knots-in-4-Space--An-Introduction-by/yUO4VVloYMM/">Surface-Knots in 4-Space : An Introduction, by Seiichi Kamada, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>