Results 171 to 180 of about 70,693 (320)
On the universal pairing for 2‐complexes
Bulletin of the London Mathematical Society, EarlyView.Abstract The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 in [Freedman, Kitaev, Nayak, Slingerland, Walker, and Wang, J. Geom. Topol. 9 (2005), 2303–2317]. We prove an analogous result for 2‐complexes, and show that the universal pairing does not detect the difference between simple homotopy equivalence and 3 ...
Mikhail Khovanov +2 more
wiley +1 more source
Representing the special linear group with block unitriangular matrices. [PDF]
PNAS Nexus, 2023 Urschel J.
europepmc +1 more source
The L-to-L boundedness of commutators with applications to the Jacobian operator [PDF]
Journal des Mathématiques Pures et Appliquées, 2018 T. Hytonen
semanticscholar +1 more source
Pathological computations of Mackey functor‐valued Tor over cyclic groups
Bulletin of the London Mathematical Society, EarlyView.Abstract In equivariant algebra, Mackey functors play the role of abelian groups and Green and Tambara functors play the role of commutative rings. In this paper, we compute Mackey functor‐valued Tor over certain free Green and Tambara functors, generalizing the computation of Tor over a polynomial ring on one generator.
David Mehrle +2 more
wiley +1 more source
Residually nilpotent groups of homological dimension 1
Bulletin of the London Mathematical Society, EarlyView.Abstract If p$p$ is a prime number, then any free group is residually a finite p$p$‐group and has homological dimension 1. As a partial converse of this assertion, in this paper we show that any finitely generated group of homological dimension 1, which is residually a finite p$p$‐group, is free.
Ioannis Emmanouil
wiley +1 more source
The weak Lefschetz property for artinian Gorenstein algebras
Bulletin of the London Mathematical Society, EarlyView.Abstract It is an extremely elusive problem to determine which standard artinian graded K$K$‐algebras satisfy the weak Lefschetz property (WLP). Codimension 2 artinian Gorenstein graded K$K$‐algebras have the WLP and it is open to what extent such result might work for codimension 3 artinian Gorenstein graded K$K$‐algebras.
Rosa M. Miró‐Roig
wiley +1 more source
A note on local formulae for the parity of Selmer ranks
Bulletin of the London Mathematical Society, EarlyView.Abstract In this note, we provide evidence for a certain ‘twisted’ version of the parity conjecture for Jacobians, introduced in prior work of Dokchitser, Green, Konstantinou and the author. To do this, we use arithmetic duality theorems for abelian varieties to study the determinant of certain endomorphisms acting on p∞$p^\infty$‐Selmer groups.
Adam Morgan
wiley +1 more source
Repetitive stimulation by commutator and condenser
, 1934 Archibald Vivian Hill
openalex +1 more source
On a Classical Commutator Result [PDF]
, 1966 Marvin Marcus, Robert C. Thompson
openalex +1 more source