Results 71 to 80 of about 11,163 (139)
Real models for the framed little n$n$‐disks operads
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley +1 more source
The starred Dixmier's conjecture [PDF]
Dixmier's famous question says the following: Is every algebra endomorphism of the first Weyl algebra, $A_1(F)$, where $F$ is a zero characteristic field, an automorphism? Let $\alpha$ be the exchange involution on $A_1(F)$: $\alpha(x)= y$, $\alpha(y)= x$
Moskowicz, Vered
core
Floer theory for the variation operator of an isolated singularity
Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae +3 more
wiley +1 more source
The main purpose of this paper is to construct ergodic, nonsingular, conservative n-to-one endomorphisms which preserve no equivalent sfinite measure. While such examples are known to exist w6, 9, 12, 19x, our examples are fundamentally different from the existing ones.
Dajani, K., Hawkins, J.
openaire +2 more sources
Topological K‐theory of quasi‐BPS categories for Higgs bundles
Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley +1 more source
Endomorphism monoid and automorphism group of residually finite and profinite quandles
We explore residually finite and profinite quandles. We prove that the endomorphism monoid and the automorphism group of finitely generated residually finite quandles are residually finite. In fact, we establish the similar result for a broad class of residually finite quandles. We provide a topological characterization of profinite quandles.
openaire +2 more sources
Endomorphisms and automorphisms from subfactors illustrating non-commutative entropy
We present a series of examples of endomorphisms and automorphisms arising from subfactors, which illustrate some of the recent theorems in non-commutative entropy theory. Moreover it is shown that for these examples the Connes-Størmer entropy of the automorphism is maximal and coincides with the topological entropy.
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Endomorphisms and automorphisms of minimal symbolic systems with sublinear complexity
6 ...
Coven, Ethan, Yassawi, Reem
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Endomorphism Algebras and Automorphism Groups of Certain Complex Tori
We study the endomorphism algebra, the automorphism group and the Hodge group of complex tori of complex tori, whose second rational cohomology group enjoys a certain Hodge property introduced by F. Campana.
openaire +3 more sources

