Results 41 to 50 of about 57,085 (156)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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On Non-Archimedean Fuzzy Metric Free Topological Groups
AxiomsWe construct the free group over a non-Archimedean fuzzy metric space (X,M,∧) in the sense of George and Veeramani where ∧ is the minimum t-norm. The two main tools used are the concept of a scheme (for every non-empty subset S of N of even cardinal, a ...
Cristina Bors, Manuel Sanchis
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Rigid abelian groups and the probabilistic method
, 2011 The construction of torsion-free abelian groups with prescribed endomorphism rings starting with Corner's seminal work is a well-studied subject in the theory of abelian groups.
Braun, Gábor, Pokutta, Sebastian
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Monoid kernels and profinite topologies on the free Abelian group [PDF]
Bulletin of the Australian Mathematical Society, 1999 To each pseudovariety of Abelian groups residually containing the integers, there is naturally associated a profinite topology on any finite rank free Abelian group. We show in this paper that if the pseudovariety in question has a decidable membership problem, then one can effectively compute membership in the closure of a subgroup and, more generally,
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Countably compact group topologies on the free Abelian group of size continuum (and a Wallace semigroup) from a selective ultrafilter [PDF]
Acta Mathematica Hungarica, 2019 We prove that the existence of a selective ultrafilter implies the existence of a countably compact Hausdorff group topology on the free Abelian group of size continuum. As a consequence, we show that the existence of a selective ultrafilter implies the existence of a Wallace semigroup (i.e., a countably compact both-sided cancellative topological ...
Boero, A. C. +2 more
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
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Interaction effects on 1D fermionic symmetry protected topological phases
, 2012 In free fermion systems with given symmetry and dimension, the possible topological phases are labeled by elements of only three types of Abelian groups, Z_1, Z_2, or Z.
Tang, Evelyn, Wen, Xiao-Gang
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Free abelian topological groups and collapsing maps
Topology and its Applications, 2012 The author gives a specific description of the free Abelian topological group on a topological space. This admits a universal extension property when the space is a pointed compact metric space. Writing \(A(X)\) for the free Abelian topological group, the main theorem shows that if \((X,Y)\) is a pair of compact metric ANR spaces, the map \(A(X)\to A(X/
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Notes on countable tightness of the subspaces of free (Abelian) topological groups
Topology and its Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Fucai, Feng, Ziqin, Liu, Chuan
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Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
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