Surgery and the relative index in elliptic theory by V. E. Nazaikinskii, B. Yu. Sternin

“…This is a survey article featuring the general index locality principle introduced by the authors, which can be used to obtain index formulas for elliptic operators and Fourier integral operators in various situations, including operators on stratified manifolds and manifolds with singularities.…”
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Metaphors and social science by Eric D. Macpherson

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Some inequalities for eigenvalues of an elliptic differential operator by Shahroud Azami, Mosayeb Zohrehvand, Ghodratallah Fasihi-Ramandi

“…‎In the present paper, we investigate  the eigenvalues of an elliptic differential operator on compact Riemannian manifolds with boundary and derive a general inequality for these eigenvalues. …”
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Swampland bounds on magnetized extra dimensions by Yuta Hamada, Maki Takeuchi

“…Abstract We consider a six-dimensional U(1) gauge theory compactified on two-dimensional manifolds. The number of chiral fermions is determined by the flux quantization number on the two-dimensional compact manifolds. …”
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Multiply Warped Products with a Semisymmetric Metric Connection by Yong Wang

“…We study the Einstein multiply warped products with a semisymmetric metric connection and the multiply warped products with a semisymmetric metric connection with constant scalar curvature, and we apply our results to generalized Robertson-Walker space-times with a semisymmetric metric connection and generalized Kasner space-times with a semisymmetric metric connection and find some new examples of Einstein manifolds with a semisymmetric metric connection and manifolds with constant scalar curvature with a semisymmetric metric connection.…”
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Stochastic processes on totally disconnected topological groups by S. V. Ludkovsky

“…In particular, they are considered for diffeomorphism groups and loop groups of manifolds on non-Archimedean Banach spaces. Theorems about a quasi-invariance and a pseudodifferentiability of transition measures are proved. …”
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LNC points for m-convex sets by Marilyn Breen

“…If q is an essential lnc point of order k then for some neighborhood U of q, Q⋂U is expressible as a union of k or fewer (d−2)-dimensional manifolds, each containing q For S compact, if to every q∈Q there corresponds a k>0 such that q is an essential lnc point of order k then Q may be written as a finite union of (d−2)-manifolds.…”
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Linear algebra and differential geometry on abstract Hilbert space by Alexey A. Kryukov

“…In the paper this simple observation is used to construct a fruitful formalism of local coordinates on Hilbert manifolds. Images of charts on manifolds in the formalism are allowed to belong to arbitrary Hilbert spaces of functions including spaces of generalized functions. …”
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Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space by Jacob L. Bourjaily, Andrew J. McLeod, Cristian Vergu, Matthias Volk, Matt von Hippel, Matthias Wilhelm

“…Abstract It has recently been demonstrated that Feynman integrals relevant to a wide range of perturbative quantum field theories involve periods of Calabi-Yau manifolds of arbitrarily large dimension. While the number of Calabi-Yau manifolds of dimension three or higher is considerable (if not infinite), those relevant to most known examples come from a very simple class: degree-2k hypersurfaces in k-dimensional weighted projective space WP1,...,1,k . …”
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Solutions for Managing Wastewater in Florida Tomato Packinghouses by Gurpal Toor, Maninder Chahal, Bielinski Santos

“…Written by Gurpal Toor, Maninder Chahal, and Bielinski Santos, and published by the UF Department of Soil and Water Science, August 2012. …”
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The Neimark–Sacker Bifurcation and Global Stability of Perturbation of Sigmoid Beverton–Holt Difference Equation by M. R. S. Kulenović, Connor O’Loughlin, E. Pilav

“…Furthermore, we give the asymptotic approximation of the invariant manifolds, stable, unstable, and center manifolds of the equilibrium solutions. …”
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Solutions for Managing Wastewater in Florida Tomato Packinghouses by Gurpal Toor, Maninder Chahal, Bielinski Santos

“…Written by Gurpal Toor, Maninder Chahal, and Bielinski Santos, and published by the UF Department of Soil and Water Science, August 2012. …”
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Solutions for Managing Tomato Culls in Florida Tomato Packinghouses by Gurpal Toor, Maninder Chahal, Bielinski Santos

“…Written by Gurpal Toor, Maninder Chahal, and Bielinski Santos, and published by the UF Department of Soil and Water Science, September 2012. …”
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Periods for holomorphic maps via Lefschetz numbers by Jaume Llibre, Michael Todd

“…We characterise the set of fixed points of a class of holomorphic maps on complex manifolds with a prescribed homology. Our main tool is the Lefschetz number and the action of maps on the first homology group.…”
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Harmonic Subtangent Structures by Adara M. Blaga

“…The concept of harmonic subtangent structures on almost subtangent metric manifolds is introduced and a Bochner-type formula is proved for this case. …”
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Solutions for Managing Tomato Culls in Florida Tomato Packinghouses by Gurpal Toor, Maninder Chahal, Bielinski Santos

“…Written by Gurpal Toor, Maninder Chahal, and Bielinski Santos, and published by the UF Department of Soil and Water Science, September 2012. …”
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1-Quasiconformal Mappings and CR Mappings on Goursat Groups by Qing Yan Wu, Zun Wei Fu

“…This can reduce the determination of 1-quasiconformal mappings to the determination of CR automorphisms of CR manifolds, which is a fundamental problem in the theory of several complex variables.…”
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Canonical equivariant extensions using classical Hodge theory by Christopher Allday

“…Lin and Sjamaar have used symplectic Hodge theory to obtain canonical equivariant extensions for Hamiltonian actions on closed symplectic manifolds that have the strong Lefschetz property. …”
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Multiple quantum products in toric varieties by Holger Spielberg

“…We generalize the author's formula for Gromov-Witten invariants of symplectic toric manifolds (1999) to those needed to compute the quantum product of more than two classes directly, that is, involving the pullback of the Poincaré dual of the point class in the Deligne-Mumford spaces ℳ¯0,m.…”
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A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its Applications by Zisheng Hu, Yadong Jin, Senlin Xu

“…We extend the classical Bishop-Gromov volume comparison from constant Ricci curvature lower bound to radially symmetric Ricci curvature lower bound, and apply it to investigate the volume growth, total Betti number, and finite topological type of manifolds with nonasymptotically almost nonnegative Ricci curvature.…”
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