Zobrazeno 1 - 10
of 343
pro vyhledávání: '"Chirvasitu, Alexandru"'
Autor:
Chirvasitu, Alexandru
Consider a proper action of $\mathbb{Z}^d$ on a smooth (perhaps non-paracompact) manifold $M$. The $p^{th}$ cohomology $H^p(\mathbb{Z}^d,\ \Gamma_{\mathrm{c}}(\mathcal{F}))$ valued in the space of compactly-supported sections of a natural sheaf $\mat
Externí odkaz:
http://arxiv.org/abs/2411.09857
Autor:
Chirvasitu, Alexandru
Let $\mathbb{U}$ be a Banach Lie group and $S\subseteq \mathbb{U}$ an ad-bounded subset thereof, in the sense that there is a uniform bound on the adjoint operators induced by elements of $S$ on the Lie algebra of $\mathbb{U}$. We prove that (1) $S$-
Externí odkaz:
http://arxiv.org/abs/2410.15204
Autor:
Chirvasitu, Alexandru
A classical branched cover is an open surjection of compact Hausdorff spaces with uniformly bounded finite fibers and analogously, a quantum branched cover is a unital $C^*$ embedding admitting a finite-index expectation. We show that whenever a comp
Externí odkaz:
http://arxiv.org/abs/2409.17807
Autor:
Chirvasitu, Alexandru
We prove that (a) the sections space of a continuous unital subhomogeneous $C^*$ bundle over compact metrizable $X$ admits a finite-index expectation onto $C(X)$, answering a question of Blanchard-Gogi\'{c} (in the metrizable case); (b) such expectat
Externí odkaz:
http://arxiv.org/abs/2409.03531
We show that the Fr\'echet--Lie groups of the form $C^{\infty}(M)\rtimes \mathbb{R}$ resulting from smooth flows on compact manifolds $M$ fail to be locally exponential in several cases: when at least one non-periodic orbit is locally closed, or when
Externí odkaz:
http://arxiv.org/abs/2408.15053
Autor:
Chirvasitu, Alexandru
We prove that there exist Hopf algebras with surjective, non-bijective antipode which admit no non-trivial morphisms from Hopf algebras with bijective antipode; in particular, they are not quotients of such. This answers a question left open in prior
Externí odkaz:
http://arxiv.org/abs/2408.08167
Autor:
Chirvasitu, Alexandru
We characterize the families of bialgebras or Hopf algebras over fields for which the product in the corresponding category is finite-dimensional, answering a question of M. Lorenz: if the ground field is infinite then bialgebra or Hopf products are
Externí odkaz:
http://arxiv.org/abs/2407.20154
Autor:
Chirvasitu, Alexandru
We prove a number of results to the general effect that, under obviously necessary numerical and determinant constraints, "most" morphisms between fixed bundles on a complex elliptic curve produce (co)kernels which can either be specified beforehand
Externí odkaz:
http://arxiv.org/abs/2407.07344
Autor:
Chirvasitu, Alexandru
We show that a continuously-normed Banach bundle $\mathcal{E}$ over a compact Hausdorff space $X$ whose space of sections is algebraically finitely-generated (f.g.) over $C(X)$ is locally trivial (and hence the section space is projective f.g over $C
Externí odkaz:
http://arxiv.org/abs/2406.11221
Autor:
Chirvasitu, Alexandru
We characterize those (continuously-normed) Banach bundles $\mathcal{E}\to X$ with compact Hausdorff base whose spaces $\Gamma(\mathcal{E})$ of global continuous sections are topologically finitely-generated over the function algebra $C(X)$, answerin
Externí odkaz:
http://arxiv.org/abs/2405.14518