Zobrazeno 1 - 10
of 102
pro vyhledávání: '"2608 Geometry and Topology"'
Publikováno v:
Geometric and Functional Analysis. 33:364-375
We consider Schrödinger operators in $\ell^2(\mathbb{Z})$ whose potentials are given by the sum of an ergodic term and a random term of Anderson type. Under the assumption that the ergodic term is generated by a homeomorphism of a connected compact
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3bdedc20b73af7d8e567fb77fbde4be2
https://doi.org/10.1007/s00039-023-00632-z
https://doi.org/10.1007/s00039-023-00632-z
Autor:
Alberto S. Cattaneo, Tatsuro Shimizu
Publikováno v:
Quantum Topology. 12:111-127
In this note, we revisit the $\Theta$-invariant as defined by R. Bott and the first author. The $\Theta$-invariant is an invariant of rational homology 3-spheres with acyclic orthogonal local systems, which is a generalization of the 2-loop term of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb671eb85bc142eebbb36136d94822b5
https://doi.org/10.4171/qt/146
https://doi.org/10.4171/qt/146
Publikováno v:
Math. Phys. An. Geom.
We consider a Bose gas consisting of $N$ particles in $\mathbb{R}^3$, trapped by an external field and interacting through a two-body potential with scattering length of order $N^{-1}$. We prove that low energy states exhibit complete Bose-Einstein c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::69b8424b5d79290c7eb531e3ac3fc2e2
https://doi.org/10.1007/s11040-022-09424-7
https://doi.org/10.1007/s11040-022-09424-7
Publikováno v:
Forum of Mathematics, Sigma
We show that Bogoliubov theory correctly predicts the low-energy spectral properties of Bose gases in the Gross-Pitaevskii regime. We recover recent results from [6, 7]. While our main strategy is similar to the one developed in [6, 7], we combine it
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7f1c4f57a87a27e65a213ee026f29e0
http://arxiv.org/abs/2203.03440
http://arxiv.org/abs/2203.03440
We study four dimensional gauge theories in the context of an equivariant extension of the Batalin-Vilkovisky (BV) formalism. We discuss the embedding of BV Yang-Mills (YM) theory into a larger BV theory and their relation. Partial integration in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4e9adb2d01acbce6c9f31047eb7bcf5
Publikováno v:
Brochier, A, Jordan, D, Safronov, P & Snyder, N 2021, ' Invertible braided tensor categories ', Algebraic and Geometric Topology, vol. 21, no. 4, pp. 2107-2140 . https://doi.org/10.2140/agt.2021.21.2107
We prove that a finite braided tensor category A is invertible in the Morita 4-category BrTens of braided tensor categories if, and only if, it is non-degenerate. This includes the case of semisimple modular tensor categories, but also non-semisimple
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17169ebb601a006c2ea6f0faf1e65f02
https://hdl.handle.net/20.500.11820/449b4c8b-4711-41b2-b300-3ad02317b1d7
https://hdl.handle.net/20.500.11820/449b4c8b-4711-41b2-b300-3ad02317b1d7
Autor:
Luca Fresta
Publikováno v:
Mathematical Physics, Analysis and Geometry
We study discrete random Schrödinger operators via the supersymmetric formalism. We develop a cluster expansion that converges at both strong and weak disorder. We prove the exponential decay of the disorder-averaged Green’s function and the smoot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a89c7faa3c0b9ecb43f5d32b55ee85ba
https://doi.org/10.1007/s11040-021-09375-5
https://doi.org/10.1007/s11040-021-09375-5
Publikováno v:
Forum of Math. Sigma
We establish an upper bound for the ground state energy per unit volume of a dilute Bose gas in the thermodynamic limit, capturing the correct second-order term, as predicted by the Lee–Huang–Yang formula. This result was first established in [20
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73a7e580c91fe5d284534628f6183a04
https://doi.org/10.1017/fms.2021.66
https://doi.org/10.1017/fms.2021.66