Results 81 to 90 of about 21,041 (225)
Arnold Mathematical Journal, 2014 We study homological invariants of smooth families of real quadratic forms as a step towards a "Lagrange multipliers rule in the large" that intends to describe topology of smooth maps in terms of scalar Lagrange functions.
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GL‐algebras in positive characteristic II: The polynomial ring
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
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Cohomotopy sets of (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifolds for small n$n$
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract Let M$M$ be a closed orientable (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifold, n⩾2$n\geqslant 2$. In this paper, we combine the Postnikov tower of spheres and the homotopy decomposition of the reduced suspension space ΣM$\Sigma M$ to investigate the (integral) cohomotopy sets π*(M)$\pi ^\ast (M)$ for n=2,3,4$n=2,3,4$, under the assumption ...
Pengcheng Li, Jianzhong Pan, Jie Wu
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Journal of Pure and Applied Algebra, 2005 Let \(G\) be a \(p\)-group, the `coclass' of \(G\) is defined as \(r=n-c\), where \(p^n\) is the order of \(G\) and \(c\) is the length of the lower central series of \(G\). There is a classification of finite \(p\)-groups according to their coclass: \textit{C. R. Leedham-Green} [J. Lond. Math. Soc. II, Ser. 50, No.
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Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We describe recent progress in a program to understand the classification of three‐dimensional Fano varieties with Q$\mathbb {Q}$‐factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety X$
Tom Coates +2 more
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Quandle cohomology is a Quillen cohomology [PDF]
Transactions of the American Mathematical Society, 2018 Racks and quandles are fundamental algebraic structures related to the topology of knots, braids, and the Yang–Baxter equation. We show that the cohomology groups usually associated with racks and quandles agree with the Quillen cohomology groups for the algebraic theories of racks and quandles, respectively.
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Real models for the framed little n$n$‐disks operads
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
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Homology, Homotopy and Applications, 2008 We offer a direct proof of an elementary result concerning cohomological periods. As a corollary we show that given a finitely generated stably free resolution of Z over a finite group, two of its modules are free.
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Parametrized stability and the universal property of global spectra
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We develop a framework of parametrized semiadditivity and stability with respect to so‐called atomic orbital subcategories of an indexing ∞$\infty$‐category T$T$, extending work of Nardin. Specializing this framework, we introduce global ∞$\infty$‐categories and the notions of equivariant semiadditivity and stability, yielding a higher ...
Bastiaan Cnossen +2 more
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DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS
Forum of Mathematics, Pi, 2019 We describe a graded extension of the usual Hecke algebra: it acts in a graded fashion on the cohomology of an arithmetic group $\unicode[STIX]{x1D6E4}$.
AKSHAY VENKATESH
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