A note on relative Gelfand–Fuks cohomology of spheres
Abstract We study the Gelfand–Fuks cohomology of smooth vector fields on Sd$\mathbb {S}^d$ relative to SO(d+1)$\mathrm{SO}(d+1)$ following a method of Haefliger that uses tools from rational homotopy theory. In particular, we show that H∗(BSO(4);R)$H^*(\mathrm{B}\mathrm{SO}(4);\mathbb {R})$ injects into the relative Gelfand–Fuks cohomology which ...
Nils Prigge
wiley +1 more source
Wild conductor exponents of curves
Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
wiley +1 more source
Some Identities for the Bernoulli, the Euler and the Genocchi Numbers and Polynomials
The purpose of this paper is to give some new identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials.
openaire +3 more sources
The fundamental group of the complement of a generic fiber‐type curve
Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín +1 more
wiley +1 more source
Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions
ABSTRACT This article presents the first complete application of a quantum time‐marching algorithm for simulating multidimensional linear transport phenomena with arbitrary boundaries, whereby the success probabilities are problem intrinsic. The method adapts the linear combination of unitaries algorithm to block encode the diffusive dynamics, while ...
Sergio Bengoechea +2 more
wiley +1 more source
Simplex polynomial in complex networks and its applications to compute the Euler characteristic. [PDF]
Wang Z, Fu X, Deng B, Chen Y, Zhao H.
europepmc +1 more source
Quadratic Subproduct Systems, Free Products, and Their C*-Algebras. [PDF]
Arici F, Ge Y.
europepmc +1 more source
Approximation of Anisotropic Pair Potentials Using Multivariate Interpolation. [PDF]
Fakhraei M, Kieslich CA, Howard MP.
europepmc +1 more source
b -Hurwitz numbers from refined topological recursion. [PDF]
Kumar Chidambaram N +2 more
europepmc +1 more source
Analogs of the Prime Number Problem in a Shot Noise Suppression of the Soft-Reset Process. [PDF]
Hirose Y.
europepmc +1 more source

