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A crossed module is (A,H,d,\la) where d:A\to H is a homomorphism of groups and H acts on A, with conditions leading to a groupoid A\lcross H{\to\atop \to}H as an example of a strict 2-group. We give the corresponding notion of a quantum…

Quantum Algebra · Mathematics 2012-08-31 Shahn Majid

(Contribution to Proceedings of the Seventh International Symposium On Heavy Flavor Physics, July 7-11, 1997, Santa Barbara.) Theoretical approaches to form factors of semileptonic decays are discussed in application to $B \ra D + l+\bar…

High Energy Physics - Phenomenology · Physics 2007-05-23 Arkady Vainshtein

In this work, we propose a novel approach to the homotopy transfer procedure starting from a set of homotopy data such that the first differential complex is a differential graded module over the second one. We show that the module…

Algebraic Topology · Mathematics 2024-06-19 C. A. Cremonini , V. E. Marotta

We prove that the Becker-Gottlieb transfer is functorial up to homotopy, for all fibrations with finitely dominated fibers. This resolves a lingering foundational question about the transfer, which was originally defined in the late 1970s…

Algebraic Topology · Mathematics 2023-06-07 John R. Klein , Cary Malkiewich

To a singular knot K with n double points, one can associate a chord diagram with n chords. A chord diagram can also be understood as a 4-regular graph endowed with an oriented Euler circuit. L. Traldi introduced a polynomial invariant for…

Combinatorics · Mathematics 2025-09-23 Alexander Dunaykin , Vyacheslav Zhukov

Beauville asked if a compact K\"ahler manifold with split tangent bundle has a universal covering that is a product of manifolds. We use Mori theory and elementary results about holomorphic foliations to study this problem for projective…

Algebraic Geometry · Mathematics 2017-11-10 Andreas Höring

For every infinite cardinal number $\kappa$, $\kappa$-monoids and their realization have recently been introduced and studied by Nazemian and Smertnig. A $\kappa$-monoid $H$ has a realization to a ring $R$ if there exists an element $x \in…

Representation Theory · Mathematics 2024-05-28 Zahra Nazemian

Radiative heat transfer is of great interest from a fundamental point of view and for energy harvesting applications. This is a material dependent phenomenon where confined plasmonic excitations, hyperbolicity and other properties can be…

Mesoscale and Nanoscale Physics · Physics 2025-10-27 Long Ma , Dai-Nam Le , Lilia M. Woods

It has been widely assumed that partially quenched chiral perturbation theory is the correct low-energy effective theory for partially quenched QCD. Here we present arguments supporting this assumption. First, we show that, for partially…

High Energy Physics - Lattice · Physics 2015-06-15 Claude Bernard , Maarten Golterman

The edge states of a sample displaying the quantum Hall effect (QHE) can be described by a 1+1 dimensional (conformal) field theory of $d$ massless scalar fields taking values on a $d$-dimensional torus. It is known from the work of…

High Energy Physics - Theory · Physics 2009-10-28 A. P. Balachandran , L. Chandar , B. Sathiapalan

Let $H$ be a Krull monoid with finite class group $G$ and suppose that each class contains a prime divisor. Then every non-unit $a \in H$ has a factorization into atoms, say $a=u_1 \cdot\ldots \cdot u_k$ where $k$ is the factorization…

Commutative Algebra · Mathematics 2026-02-26 Doniyor Yazdonov

We study the hopping transport of a quantum particle through finite, randomly diluted percolation clusters in two dimensions. We investigate how the transmission coefficient T behaves as a function of the energy E of the particle, the…

Statistical Mechanics · Physics 2007-05-23 E. Cuansing , H. Nakanishi

Local superluminal photon propagation arises at $\mathcal{O}(\alpha/m_e^2)$ in the Drummond Hathrell (DH) effective action obtained by integrating out the electron in QED coupled to gravity. Whether such superluminality implies a genuine…

High Energy Physics - Theory · Physics 2026-02-09 Madhukar Deb , Jay Desai , Diptimoy Ghosh

Using the nonequilibrium Green's function formalism, we propose a general microscopic framework to investigate the radiative heat transfer (RHT) between coplanar objects with a square lattice. We employ the obtained formulas to…

Mesoscale and Nanoscale Physics · Physics 2024-06-28 Tao Zhu , Yong-Mei Zhang , Jian-Sheng Wang

We give a new proof of the Semistable Reduction Theorem for curves. The main idea is to present a curve $Y$ over a local field $K$ as a finite cover of the projective line $X=\PP^1_K$. By successive blowups (and after replacing $K$ by a…

Algebraic Geometry · Mathematics 2012-11-21 Kai Arzdorf , Stefan Wewers

The influence of short-range Coulomb correlations on the Mott transition in the single-band Hubbard model at half-filling is studied within cellular dynamical mean field theory for square and triangular lattices. Finite-temperature exact…

Strongly Correlated Electrons · Physics 2009-11-13 A. Liebsch , H. Ishida , J. Merino

Suppose $F$ is a field with valuation $v$ and valuation ring $O_{v}$, $E$ is a finite field extension and $w$ is a quasi-valuation on $E$ extending $v$. We study quasi-valuations on $E$ that extend $v$; in particular, their corresponding…

Commutative Algebra · Mathematics 2013-01-23 Shai Sarussi

In this paper we outline an approach to calculus over quasitriangular Hopf algebras. We study differential operators in the framework of monoidal categories equipped with a braiding or symmetry. To be more concrete, we choose as an example…

High Energy Physics - Theory · Physics 2007-05-23 Valentin Lychagin

For a commutative Noetherian ring R of dimension d and a commutative cancellative monoid M, the elementary action on unimodular n-rows over the monoid ring R[M] is transitive for n>=max(d+2,3). The starting point is the case of polynomial…

K-Theory and Homology · Mathematics 2018-08-31 Joseph Gubeladze

We formulate the RNA folding problem as an $N\times N$ matrix field theory. This matrix formalism allows us to give a systematic classification of the terms in the partition function according to their topological character. The theory is…

Statistical Mechanics · Physics 2009-11-07 H. Orland , A. Zee
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