Academic Journal
Προβολή σε EDS

A simplification in Vassiliev's spectral sequence.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: A simplification in Vassiliev's spectral sequence.
Συγγραφείς: Mortier, Arnaud1
Πηγή: Journal of Knot Theory & Its Ramifications. Jan2018, Vol. 27 Issue 1, p-1. 8p.
Θεματικοί όροι: *Spectral sequences (Mathematics), *Isomorphism (Mathematics), *Mathematical mappings, *Tree graphs, *Cohomology theory
Περίληψη: We establish a simple formula to compute the incidence signs in the spectral sequence used by Vassiliev to define finite-type cohomology classes in the space of long knots. We consider only the subcomplex of tree diagrams, which carries all the cohomology in low degrees and is the most difficult to compute. On the way, it is shown that by getting rid of the most complicated ingredients in the boundary maps, one obtains an isomorphic complex. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
FullText Text:
  Availability: 0
Header DbId: asx
DbLabel: Academic Search Index
An: 127494035
RelevancyScore: 1232
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 1231.62243652344
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: A simplification in Vassiliev's spectral sequence.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Mortier%2C+Arnaud%22">Mortier, Arnaud</searchLink><relatesTo>1</relatesTo>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Journal+of+Knot+Theory+%26+Its+Ramifications%22">Journal of Knot Theory & Its Ramifications</searchLink>. Jan2018, Vol. 27 Issue 1, p-1. 8p.
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: *<searchLink fieldCode="DE" term="%22Spectral+sequences+%28Mathematics%29%22">Spectral sequences (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Isomorphism+%28Mathematics%29%22">Isomorphism (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematical+mappings%22">Mathematical mappings</searchLink><br />*<searchLink fieldCode="DE" term="%22Tree+graphs%22">Tree graphs</searchLink><br />*<searchLink fieldCode="DE" term="%22Cohomology+theory%22">Cohomology theory</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We establish a simple formula to compute the incidence signs in the spectral sequence used by Vassiliev to define finite-type cohomology classes in the space of long knots. We consider only the subcomplex of tree diagrams, which carries all the cohomology in low degrees and is the most difficult to compute. On the way, it is shown that by getting rid of the most complicated ingredients in the boundary maps, one obtains an isomorphic complex. [ABSTRACT FROM AUTHOR]
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=asx&AN=127494035
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1142/S0218216518500086
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 8
        StartPage: -1
    Subjects:
      – SubjectFull: Spectral sequences (Mathematics)
        Type: general
      – SubjectFull: Isomorphism (Mathematics)
        Type: general
      – SubjectFull: Mathematical mappings
        Type: general
      – SubjectFull: Tree graphs
        Type: general
      – SubjectFull: Cohomology theory
        Type: general
    Titles:
      – TitleFull: A simplification in Vassiliev's spectral sequence.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Mortier, Arnaud
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Text: Jan2018
              Type: published
              Y: 2018
          Identifiers:
            – Type: issn-print
              Value: 02182165
          Numbering:
            – Type: volume
              Value: 27
            – Type: issue
              Value: 1
          Titles:
            – TitleFull: Journal of Knot Theory & Its Ramifications
              Type: main
ResultId 1