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- catalog abstract ""This book contains new numerical isotopy invariants for knots in the product of a surface (not necessarily orientable) with a line and for links in 3-space. These invariants, called Gauss diagram invariants, are defined in a combinatorial way using know diagrams. The natural notion of global knots is introduced. Global knots generalize closed braids. If the surface is not the disc or the sphere then there are Gauss diagram invariants which distinguish knots that cannot be distinguished by quantum invariants. There are specific Gauss diagram invariants of finite type for global knots. These invariants, called T-invariants, separate global knots of some classes and it is conjectured that they separate all global knots. T-invariants cannot be obtained from the (generalized) Kontsevich integral." "Audience: The book is designed for research workers in low dimensional topology."--Jacket.".
- catalog contributor b12289757.
- catalog created "c2001.".
- catalog date "2001".
- catalog date "c2001.".
- catalog dateCopyrighted "c2001.".
- catalog description ""This book contains new numerical isotopy invariants for knots in the product of a surface (not necessarily orientable) with a line and for links in 3-space. These invariants, called Gauss diagram invariants, are defined in a combinatorial way using know diagrams. The natural notion of global knots is introduced. Global knots generalize closed braids. If the surface is not the disc or the sphere then there are Gauss diagram invariants which distinguish knots that cannot be distinguished by quantum invariants. There are specific Gauss diagram invariants of finite type for global knots. These invariants, called T-invariants, separate global knots of some classes and it is conjectured that they separate all global knots.".
- catalog description "1. The space of diagrams -- 2. Invariants of knots and links by Gauss sums -- 3. Applications -- 4. Global knot theory in F[superscript 2] x [Riemann integral] -- 5. Isotopies with restricted cusp crossing for fronts with exactly two cusps of Legendre knots in ST[superscript *][Riemann integral][superscript 2].".
- catalog description "Includes bibliographical references and index.".
- catalog description "T-invariants cannot be obtained from the (generalized) Kontsevich integral." "Audience: The book is designed for research workers in low dimensional topology."--Jacket.".
- catalog extent "xvi, 412 p. :".
- catalog identifier "0792371127 (acid-free paper)".
- catalog isPartOf "Mathematics and its application ; v. 532".
- catalog isPartOf "Mathematics and its applications (Kluwer Academic Publishers) ; v. 532.".
- catalog issued "2001".
- catalog issued "c2001.".
- catalog language "eng".
- catalog publisher "Dordrecht : Boston : Kluwer Academic Publishers,".
- catalog subject "514/.224 21".
- catalog subject "Gaussian sums.".
- catalog subject "Knot theory.".
- catalog subject "Link theory.".
- catalog subject "QA612.2 .F54 2001".
- catalog tableOfContents "1. The space of diagrams -- 2. Invariants of knots and links by Gauss sums -- 3. Applications -- 4. Global knot theory in F[superscript 2] x [Riemann integral] -- 5. Isotopies with restricted cusp crossing for fronts with exactly two cusps of Legendre knots in ST[superscript *][Riemann integral][superscript 2].".
- catalog title "Gauss diagram invariants for knots and links / by Thomas Fiedler.".
- catalog type "text".