On enumeration of chord diagrams and asymptotics of Vassiliev invariants:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
1998
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Berlin, Freie Univ., Diss., 1998. - Zsfassung in dt. Sprache |
| Beschreibung: | 60 S. graph. Darst. |
Internformat
MARC
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| 100 | 1 | |a Stoimenow, Alexander |d 1974- |e Verfasser |0 (DE-588)120412438 |4 aut | |
| 245 | 1 | 0 | |a On enumeration of chord diagrams and asymptotics of Vassiliev invariants |c Alexander Stoimenow |
| 264 | 1 | |c 1998 | |
| 300 | |a 60 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 500 | |a Berlin, Freie Univ., Diss., 1998. - Zsfassung in dt. Sprache | ||
| 502 | |a Berlin, Freie Univ., Diss., 1998 | ||
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Datensatz im Suchindex
| _version_ | 1807323337942106112 |
|---|---|
| adam_text |
CONTENTS
1
VASSILIEV
INVARIANTS
FOR
KNOTS
4
1.1
THE
CLASSIFICATION
PROBLEM
OF
KNOTS
.
4
1.2
THE
FILTRATION
OF
THE
KNOT
SPACE
.
4
1.3
THE
ALGEBRA
A
.
6
1.4
WEIGHT
SYSTEMS
.
7
1.5
V
ASSILIEV
INVARIANTS
FOR
BRAIDS
AND
STRING
LINKS
.
8
1.6
CONSTRUCTING
A
UNIVERSAL
V
ASSILIEV
INVARIANT
.
9
1.7
BRAIDING
SEQUENCES
.
9
2
THE
RESULTS
OF
THIS
THESIS
10
3
ON
THE
NUMBER
OF
CHORD
DIAGRAMS
11
3.1
NOTATIONS
.
11
3.2
LINEARIZED
CHORD
DIAGRAMS
.
11
3.3
CYCLIC
CD
'
S
AND
GLCD
'
S
.
12
3.4
COUNTING
ALL
CHORD
DIAGRAMS
.
14
3.5
SYMMETRIC
CHORD
DIAGRAMS
.
14
3.6
DEGENERATE
CD
'
S
AND
LCD
'
S
.
15
3.7
CHORD
DIAGRAMS
WITH
CHORDS
OF
LENGTH
1
.
18
3.8
CHORD
DIAGRAMS
WITH
ISOLATED
CHORDS
ONLY
.
19
3.9
SOME
COMPUTATIONS
.
20
3.10
ASYMPTOTICS
.
20
4
CONNECTED
AND
TREE-CONNECTED
CHORD
DIAGRAMS
21
4.1
CONNECTED
CD
'
S
AND
LCD
'
S
.
22
4.2
TREE-CONNECTED
CD
'
S
AND
LCD
'
S
.
24
4.3
SOME
COMPUTATIONS
.
27
5
AN
UPPER
BOUND
FOR
VASSILIEV INVARIANTS
27
5.1
FACTORING
OUT
4T
RELATIONS
.
27
5.2
REGULAR
LINEARIZED
CHORD
DIAGRAMS
.
29
5.3
CONNECTED
REGULAR
LCD
'
S
.
32
5.4
NUMERICAL
AND
ASYMPTOTICAL
RESULTS
.
34
5.5
A
FURTHER
IMPROVEMENT
.
38
5.6
THE
SEGMENT
LENGTH
INEQUALITY
.
41
6
THE
DIMENSION
OF
A
COMMUTATIVE
GRADED
ALGEBRA
AND
ASYMPTOTICS
OF
VI
41
6.1
THE
DOMINATING
PARTITION
.
43
6.2
A
LOWER
BOUND
FOR
THE
NUMBER
OF
ALL
VASSILIEV
INVARIANTS
.
45
6.3
THE EXPONENTIAL
BARRIER
.
46
7
THE
BRAID
INDEX
AND
THE
GROWTH
OF
VASSILIEV
INVARIANTS
47
7.1
BRAIDING
SEQUENCES
.
47
7.2
ARBORESCENT
KNOTS
.
48
7.3
BOUNDS
FOR
BRAID
REPRESENTATIONS
.
51
7.4
THE
GROWTH
OF
THE
NUMBER
OF
KNOTS
AND
VASSILIEV
INVARIANTS
.
54
CONTENTS
ABSTRACT
ZUSAMMENFASSUNG
(GERMAN
ABSTRACT)
3
59
59 |
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| bvnumber | BV012022572 |
| ctrlnum | (OCoLC)51947857 (DE-599)BVBBV012022572 |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV012022572 |
| illustrated | Illustrated |
| indexdate | 2024-08-14T01:10:48Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008137606 |
| oclc_num | 51947857 |
| open_access_boolean | |
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| owner_facet | DE-739 DE-12 DE-355 DE-BY-UBR DE-29T DE-83 DE-11 DE-188 |
| physical | 60 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| record_format | marc |
| spelling | Stoimenow, Alexander 1974- Verfasser (DE-588)120412438 aut On enumeration of chord diagrams and asymptotics of Vassiliev invariants Alexander Stoimenow 1998 60 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Berlin, Freie Univ., Diss., 1998. - Zsfassung in dt. Sprache Berlin, Freie Univ., Diss., 1998 Sehnendiagramm (DE-588)4517951-7 gnd rswk-swf Vassiliev-Invariante (DE-588)4517952-9 gnd rswk-swf Knoten Mathematik (DE-588)4164314-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Knoten Mathematik (DE-588)4164314-8 s Sehnendiagramm (DE-588)4517951-7 s Vassiliev-Invariante (DE-588)4517952-9 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008137606&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stoimenow, Alexander 1974- On enumeration of chord diagrams and asymptotics of Vassiliev invariants Sehnendiagramm (DE-588)4517951-7 gnd Vassiliev-Invariante (DE-588)4517952-9 gnd Knoten Mathematik (DE-588)4164314-8 gnd |
| subject_GND | (DE-588)4517951-7 (DE-588)4517952-9 (DE-588)4164314-8 (DE-588)4113937-9 |
| title | On enumeration of chord diagrams and asymptotics of Vassiliev invariants |
| title_auth | On enumeration of chord diagrams and asymptotics of Vassiliev invariants |
| title_exact_search | On enumeration of chord diagrams and asymptotics of Vassiliev invariants |
| title_full | On enumeration of chord diagrams and asymptotics of Vassiliev invariants Alexander Stoimenow |
| title_fullStr | On enumeration of chord diagrams and asymptotics of Vassiliev invariants Alexander Stoimenow |
| title_full_unstemmed | On enumeration of chord diagrams and asymptotics of Vassiliev invariants Alexander Stoimenow |
| title_short | On enumeration of chord diagrams and asymptotics of Vassiliev invariants |
| title_sort | on enumeration of chord diagrams and asymptotics of vassiliev invariants |
| topic | Sehnendiagramm (DE-588)4517951-7 gnd Vassiliev-Invariante (DE-588)4517952-9 gnd Knoten Mathematik (DE-588)4164314-8 gnd |
| topic_facet | Sehnendiagramm Vassiliev-Invariante Knoten Mathematik Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008137606&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT stoimenowalexander onenumerationofchorddiagramsandasymptoticsofvassilievinvariants |