EULER CHARACTERISTIC OF TANGO BUNDLES by Hong Cong Nguyen, Tuan Hiep Dang, Thi Mai Van Nguyen

Subjects: “…euler characteristic…”
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Topological 1D gravity, KP hierarchy, and orbifold Euler characteristics of M‾g,n by Zhiyuan Wang, Jian Zhou

“…As an application, we present two types of algorithms to compute the orbifold Euler characteristics of the moduli spaces M‾g,n of stable curves. …”
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A direct relation between bending energy and contact angles for capillary bridges by Millet, Olivier, Gagneux , Gérard

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The computation of the index of a Morse function at a critical point by Takis Sakkalis

“…As a consequence the Euler characteristic of V is computed. In the case where the hypersurface is polynomial and compact, a procedure is given that finds a linear function ℓ, whose restriction ℓ|V, is a Morse function on V.…”
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Riemann–Roch for the ring $\mathbb{Z}$ by Connes, Alain, Consani, Caterina

“…The formula equates the (integer valued) Euler characteristic of an Arakelov divisor with the sum of the degree of the divisor (using logarithms with base 2) and the number $1$, thus confirming the understanding of the ring $\mathbb{Z}$ as a ring of polynomials in one variable over the absolute base $\mathbb{S}$, namely $\mathbb{S}[X], 1+1=X+X^2$.…”
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The decoupling of moduli about the standard embedding by Beatrice Chisamanga, Jock McOrist, Sebastien Picard, Eirik Eik Svanes

“…Given a stable gauge bundle over a complex threefold with trivial canonical bundle and no holomorphic vector fields, we also show that the Euler characteristic of this differential complex is zero. …”
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Clar Structure and Fries Set of Fullerenes and (4,6)-Fullerenes on Surfaces by Yang Gao, Heping Zhang

“…We showed that the Clar number of a fullerene on surface Σ is bounded above by (|V|/6)-χ(Σ), where χ(Σ) stands for the Euler characteristic of Σ. By establishing a relation between the extremal fullerenes and the extremal (4,6)-fullerenes on the sphere, Hartung characterized the fullerenes on the sphere S0 for which Clar numbers attain (|V|/6)-χ(S0). …”
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Sculpturing sound fields with the real-space structural topology of acoustic cavities by Qing Tong, Shubo Wang

“…To tackle this problem, we present a detailed study of the sound fields inside acoustic cavities with different Euler characteristics and demonstrate that the real-space topology can give rise to topological configurations of the velocity and pressure fields. …”
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Permafrost pore structure and its influence on microbial diversity: Insights from X-ray computed tomography by Nathan D. Blais, Joy M. O’Brien, Hannah Holland-Moritz, Lauren Farnsworth, Robyn A. Barbato, Thomas A. Douglas, Alexandra Contosta, Julie Bobyock, Erin C. Rooney, Taylor Sullivan, Jessica Gilman Ernakovich

“…To quantify soil pore characteristics, we scanned intact permafrost using X-ray computed tomography. The Euler characteristic number was used to measure pore connectivity and serve as a proxy for potential hydrological connectivity, as direct measurement of hydrological connectivity was not possible. …”
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