Quasi-equivalence of relabeled positroid cluster structures 6G1KBA0SXV
| URI | m2://res/6G1KBA0SXV |
|---|---|
| Kind | preprint |
| Creators | Yilin Wu |
| Date | 2026-09-24 |
| MSC | 20-XX, 22-XX, 16-XX |
| Subjects | arxiv math.RT, arxiv math.RA |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-09-24 |
| Ids | arXiv 2609.30637 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| Boundary tilting | statement | theorem 4.10 | arxiv |
| $P_{\cI}$-orthogonal lattices | definition | definition 4.13 | arxiv |
| 27SZQFCVHF | statement | proposition 3.18 | arxiv |
| Toggle | definition | definition 4.5 | arxiv |
| Submodule Grassmannians and $F$-polynomials | definition | definition 3.9 | arxiv |
| 2XV1YDVRVQ | statement | lemma 3.23 | arxiv |
| Aligned toggle | definition | definition 4.6 | arxiv |
| 3JNMB17RWK | statement | lemma 4.12 | arxiv |
| 3KNY5CE523 | statement | theorem 4.15 | arxiv |
| The associated cluster algebras | definition | definition 3.3 | arxiv |
| An inside domain in $\operatorname{Gr}(2,5)$ | example | example 4.20 | arxiv |
| Seed | definition | definition 2.1 | arxiv |
| Diagonal graded product | definition | definition 4.30 | arxiv |
| 5R388R30G1 | statement | lemma 3.29 | arxiv |
| 5V0JDP7B1Y | statement | proposition 3.28 | arxiv |
| 5VJKHFTK41 | statement | lemma 3.13 | arxiv |
| Homogeneous amalgamation of two rank-one seeds | example | example 4.34 | arxiv |
| The associated ice quivers | example | example 4.23 | arxiv |
| Tilting module | definition | definition 4.4 | arxiv |
| 8GXVSQK3WX | statement | proposition 3.5 | arxiv |
| 8JR3VF8RFY | statement | lemma 4.35 | arxiv |
| Localized index | definition | definition 3.7 | arxiv |
| 92FGGQV39T | definition | definition 4.19 | arxiv |
| A1RP3J91V2 | statement | lemma 3.26 | arxiv |
| A2202M4END | statement | lemma 3.14 | arxiv |
| Gabriel quiver and frozen vertices | definition | definition 4.18 | arxiv |
| Projection to connected components | example | example 4.28 | arxiv |
| Cluster algebra and cluster structure | definition | definition 2.2 | arxiv |
| Combinatorial $F$-polynomials | definition | definition 3.30 | arxiv |
| Fraser--Sherman--Bennett | conjecture | conjecture 2.15 | arxiv |
| The general case | statement | corollary 4.36 | arxiv |
| EFYC64X49B | statement | lemma 3.8 | arxiv |
| Homogeneous amalgamation of component seeds | definition | definition 4.33 | arxiv |
| FE714RN90H | statement | theorem 1.1 | arxiv |
| FK3QYS3QV8 | statement | lemma 3.27 | arxiv |
| Finite global dimension | statement | lemma 4.17 | arxiv |
| Short exact sequence associated with an aligned toggle | statement | lemma 4.8 | arxiv |
| Unit necklace | definition | definition 2.10 | arxiv |
| Boundary module | definition | definition 4.1 | arxiv |
| Grassmannlike necklace | definition | definition 2.9 | arxiv |
| HVCTR3K639 | statement | theorem 3.32 | arxiv |
| An aligned toggle of unit necklaces | example | example 4.7 | arxiv |
| Localized character | statement | proposition 3.12 | arxiv |
| KKJ2DQDCPV | statement | proposition 2.4 | arxiv |
| Fraser--Sherman--Bennett | statement | theorem 2.14 | arxiv |
| N3KNQ0XCHX | example | example 4.9 | arxiv |
| The source and target Frobenius categories | definition | definition 3.22 | arxiv |
| P22ZQMJJN9 | example | example 2.5 | arxiv |
| The seed in $\operatorname{Gr}(2,4)$ | example | example 2.7 | arxiv |
| Quasi-equivalence | definition | definition 2.3 | arxiv |
| relabeled endomorphism algebra | definition | definition 4.16 | arxiv |
| Full column rank | statement | lemma 3.25 | arxiv |
| R3JZ1CBMCR | statement | proposition 3.33 | arxiv |
| Lattices and the circle order | definition | definition 3.20 | arxiv |
| RJJ90PRMWV | statement | lemma 4.31 | arxiv |
| Gorenstein-projective modules | definition | definition 4.3 | arxiv |
| Mutation compatibility | statement | proposition 4.24 | arxiv |
| RZG0YY6VM4 | statement | theorem 3.24 | arxiv |
| SFG78BE45H | statement | lemma 4.14 | arxiv |
| Unit Necklace Theorem | statement | theorem 2.13 | arxiv |
| Relabeling need not preserve type | example | example 2.8 | arxiv |
| Connected case | statement | theorem 4.26 | arxiv |
| Cluster characters | definition | definition 3.10 | arxiv |
| $f$-compatibility degree | definition | definition 3.31 | arxiv |
| V30HBDSNYD | example | example 2.6 | arxiv |
| V5CAK16G1W | statement | proposition 4.25 | arxiv |
| Boundary count | statement | lemma 4.29 | arxiv |
| VYCHW0C7TN | statement | lemma 3.16 | arxiv |
| Rank-one modules | definition | definition 3.21 | arxiv |
| Dimer algebra and boundary order | definition | definition 3.19 | arxiv |
| Components and cyclic restrictions | definition | definition 4.27 | arxiv |
| Split and relative Grothendieck groups | definition | definition 3.4 | arxiv |
| XZ73B3W4Y2 | statement | proposition 4.21 | arxiv |
| Y06B4GCE0E | definition | definition 3.6 | arxiv |
| Admissible relabeling | definition | definition 2.11 | arxiv |
| YP2Z8KJ5T8 | statement | corollary 3.17 | arxiv |
| Tilted boundary order | definition | definition 4.11 | arxiv |
| Orders and lattices | definition | definition 4.2 | arxiv |
| Components and local admissibility | statement | lemma 4.32 | arxiv |
| Z5ZXPK3TE4 | definition | definition 3.1 | arxiv |
Catalogue records
- arxiv: 2609.30637 (work)
- arxiv_text: 2609.30637 (work)