On the universal pairing for 2-complexes

Autor:	Khovanov, Mikhail, Krushkal, Vyacheslav, Nicholson, John
Rok vydání:	2023
Předmět:	Mathematics - Geometric Topology Mathematics - Quantum Algebra Primary: 57K16 57K20 20F05
Druh dokumentu:	Working Paper
Popis:	The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 by Freedman et al. We prove an analogous result for 2-complexes, and also show that the universal pairing does not detect the difference between simple homotopy equivalence and 3-deformations. The question of whether these two equivalence relations are different for 2-complexes is the subject of the Andrews-Curtis conjecture. We also discuss the universal pairing for higher-dimensional complexes and show that it is not positive. Comment: 17 pages. Version 2 is a substantial revision, in particular the main theorem is strengthened and a section is added on the universal pairing of higher-dimensional complexes
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.07429 Zobrazit plný text záznamu View this record from Arxiv