Math 2.0

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Torsion of every finite order in the homology of graph braid groups Y1DR0DPWD0

URIm2://res/Y1DR0DPWD0
Kindpreprint
CreatorsByung Hee An
Date2026-10-03
MSC55-XX, 05-XX, 20-XX
Subjectsarxiv math.AT, arxiv math.CO, arxiv math.GR
Scopein

Expressions

e1: version, preprint

Languageen
Date2026-10-03
IdsarXiv 2610.04305, zbl_id 903196851

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

ItemKindWhereSource
1193MTZPAWstatementtheorem 4.3arxiv
Why the degree and prime restrictions matterexampleexample 6.5arxiv
Persistence and disappearance of torsionstatementtheoremarxiv
1ZH4B007T6statementtheoremarxiv
1ZJXGBS02Tstatementlemma 7.1arxiv
Loop classesstatementtheorem 4.15arxiv
Contractions of $K_{a,b}$statementlemma 7.11arxiv
Minimality for arbitrary finite ordersstatementcorollary 7.16arxiv
All primes and all degreesstatementcorollary 6.2arxiv
4DDJ99R6P0statementtheoremarxiv
4GVWQC6C10statementtheorem 5.2arxiv
4WH59AGTA9statementcorollary 6.11arxiv
Torsion of every finite orderstatementcorollary 1.1arxiv
5KQMMXDSEBexampleexample 3.14arxiv
650FA24J3Astatementlemma 5.11arxiv
6A6HXDB641statementtheorem 6.9arxiv
Primary summands and exponentstatementcorollary 3.11arxiv
6ZFWVYGQ9Wstatementcorollary 3.18arxiv
Necessary conditions for torsion of order $q$problemproblem 8.5arxiv
8CAZZ17BS5statementcorollary 6.8arxiv
Polynomial top rankstatementcorollary 5.7arxiv
9JSKE11X3Mstatementlemma 5.8arxiv
9S0BWZKCKRstatementtheorem 5.10arxiv
Prime-power inheritance criterionstatementlemma 7.13arxiv
BJ3PR6SG6Pstatementcorollary 3.17arxiv
C1VSQG37J6exampleexample 3.8arxiv
C5TXYQ03T5statementlemma 4.2arxiv
Closed connected subspacesstatementlemma 7.7arxiv
CM2FAJY1QEexampleexample 5.6arxiv
Prime-power minimality for topological minorsstatementtheorem 7.8arxiv
The theta subgroupstatementtheorem 4.11arxiv
G0C4NEPZT9statementtheorem 3.4arxiv
GCGTS6XRZDstatementcorollary 5.15arxiv
Loop--star generatorsstatementcorollary 5.14arxiv
H2SRCH6H26statementlemma 7.5arxiv
Ko--Parkstatementtheorem 2.2arxiv
HC4F36Y98Rstatementlemma 3.16arxiv
J0N008KCYRstatementlemma 3.6arxiv
Top homology of the simple contraction coresstatementproposition 7.12arxiv
A torsion-free threshold for contraction multigraphsstatementlemma 7.14arxiv
JEFFFXGZDBstatementlemma 4.8arxiv
JJDSQAJ0R7exampleexample 3.3arxiv
JVS8DV2820statementcorollary 3.7arxiv
KE7K9CANJYstatementtheorem 3.10arxiv
KPGND3Y6M4statementproposition 3.2arxiv
KR6MMD0EQEstatementproposition 4.1arxiv
KZ7SXNSN3Nstatementlemma 3.5arxiv
Disappearance under enlargement of the first partproblemproblem 8.3arxiv
Parallel edges with at most three particlesstatementcorollary 6.13arxiv
Explicit representativesproblemproblem 8.4arxiv
NJHQ2D3D3Zstatementproposition 5.12arxiv
Theta classes generate the torsionstatementtheorem 4.13arxiv
Torsion of order $k$statementcorollary 3.12arxiv
Odd torsion and parallel edgesproblemproblem 8.6arxiv
P6XTH4VAN5statementcorollary 3.20arxiv
P6Y5MZV523statementcorollary 5.3arxiv
PB5TEEKFMVstatementcorollary 7.3arxiv
PMP8DMD9JMstatementproposition 5.1arxiv
Torsion outside the vanishing rangeproblemproblem 8.2arxiv
Loops and parallel edges can add torsionexampleexample 6.14arxiv
Universal boundary formulastatementproposition 4.4arxiv
Betti numbers and polynomialityproblemproblem 8.1arxiv
QZSW56X9HCstatementlemma 5.9arxiv
Prime-power minimality in the full minor orderstatementtheorem 7.15arxiv
R2R3BZ8SHRstatementtheorem 7.21arxiv
R9341RHRVGstatementcorollary 7.17arxiv
Loop attachment at every primestatementtheorem 6.7arxiv
Theta classes in complete bipartite graphsstatementtheorem 4.9arxiv
RBZTTBRA0Gstatementtheorem 7.2arxiv
S8PWBDYR5Tstatementtheoremarxiv
The obstruction in top particle weightstatementproposition 6.12arxiv
Wilsonstatementtheorem 3.9arxiv
SNEE84YAEQstatementlemma 3.1arxiv
Integral pendant-edge splittingstatementlemma 6.1arxiv
Persistence under enlargement of the second partstatementproposition 5.16arxiv
TY7PHH6009statementproposition 6.6arxiv
V5RP28529Kstatementtheorem 4.6arxiv
VNDV4HCXYMstatementtheorem 6.3arxiv
WBZW40XRY9statementtheoremarxiv
Parallel edges in top weightstatementtheorem 6.10arxiv
One degree below the particle numberstatementtheorem 6.4arxiv
Y7QWKGFEEJstatementproposition 4.5arxiv
YG9WQ7HTM9statementlemma 4.12arxiv
YKRPDJTQM8statementfact 2.1arxiv
YRY5Y6N1T5statementlemma 7.6arxiv
ZS5J5DVGK7statementtheorem 7.9arxiv

Catalogue records