MARC Record from marc_columbia

LEADER: 02984mam a2200337 a 4500
001 2088526
005 20220615201653.0
008 970807t19981998riua b 001 0 eng
010 $a 97034494
020 $a0821805932 (hardcover : alk. paper)
035 $a(OCoLC)ocm37513072
035 $9ANB6779CU
035 $a2088526
040 $aDLC$cDLC$dOrLoB-B
050 00 $aQA612.2$b.C37 1998
082 00 $a514/.224$221
100 1 $aCarter, J. Scott.$0http://id.loc.gov/authorities/names/nr94016568
245 10 $aKnotted surfaces and their diagrams /$cJ. Scott Carter, Masahico Saito.
260 $aProvidence, R.I. :$bAmerican Mathematical Society,$c[1998], ©1998.
300 $axi, 258 pages :$billustrations ;$c26 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aMathematical surveys and monographs,$x0076-5376 ;$vv. 55
504 $aIncludes bibliographical references (p. 243-255) and index.
505 00 $gCh. 1.$tDiagrams of Knotted Surfaces.$g1.1.$tClassical knot diagrams.$g1.2.$tKnotted surface diagrams.$g1.3.$tReidemeister moves of classical knots.$g1.4.$tMovies of knotted surfaces.$g1.5.$tCharts of knotted surfaces.$g1.6.$tExamples: how to draw charts and decker curves.$g1.7.$tSymbolic presentations of classical knots.$g1.8.$tSentences of knotted surfaces.$g1.9.$tOther diagrammatic methods --$gCh. 2.$tMoving Knotted Surfaces.$g2.1.$tEquivalence of knotted surfaces.$g2.2.$tRoseman moves.$g2.3.$tMovie moves.$g2.4.$tChart moves.$g2.5.$tThe grammar of knotted surfaces.$g2.6.$tSingularities of knotted surface isotopies.$g2.7.$tCoffee break --$gCh. 3.$tBraid Theory in Dimension Four.$g3.1.$tClassical braid theory.$g3.2.$tSurface braids.$g3.3.$tCharts of surface braids.$g3.4.$tBraid movies.$g3.5.$tMoves for charts and braid movies.$g3.6.$tHomotopy interpretations --$gCh. 4.$tCombinatories of Knotted Surface Diagrams.$g4.1.$tOrientations of the double and triple decker set.
505 80 $g4.2.$tSurfaces in 3-space that do not lift.$g4.3.$tSmoothing triple points.$g4.4.$tNormal Euler numbers and branch points.$g4.5.$tFormulas for colored triple points.$g4.6.$tSome combinatorics of charts and sentences --$gCh. 5.$tThe Fundamental Group and the Seifert Algorithm.$g5.1.$tWirtinger presentations for classical knots.$g5.2.$tWirtinger presentations for knotted surfaces.$g5.3.$tThe Alexander module.$g5.4.$tA Seifert algorithm for knotted surfaces --$gCh. 6.$tAlgebraic Structures Related to Knotted Surface Diagrams.$g6.1.$tGeneralizations of the Yang-Baxter equation.$g6.2.$tCategory theory of knotted surfaces.$g6.3.$tConclusion.
650 0 $aKnot theory.$0http://id.loc.gov/authorities/subjects/sh85072726
650 0 $aSurfaces.$0http://id.loc.gov/authorities/subjects/sh85130732
700 1 $aSaito, Masahico,$d1959-$0http://id.loc.gov/authorities/names/n95094963
830 0 $aMathematical surveys and monographs ;$vno. 55.$0http://id.loc.gov/authorities/names/n83732928
852 00 $bmat$hQA612.2$i.C37 1998