Results 21 to 30 of about 3,692,977 (264)
On Trivialities of Chern Classes [PDF]
Acta Mathematica Hungarica, 2014 A finite $CW$-complex $X$ is $C$-trivial if for every complex vector bundle $ $ over $X$, the total Chern class $c( )=1$. In this note we completely determine when each of the following spaces are $C$-trivial: suspensions of stunted real projective spaces, suspensions of stunted complex projective spaces and suspensions of stunted quaternionic ...
Ajay Singh Thakur, Aniruddha C. Naolekar
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On N $$ \mathcal{N} $$ = 4 supersymmetry enhancements in three dimensions
Journal of High Energy Physics, 2023 We introduce a class of 3d theories consisting of strongly-coupled N $$ \mathcal{N} $$ = 4 systems coupled to N $$ \mathcal{N} $$ = 3 Chern-Simons gauge multiplets, which exhibit N $$ \mathcal{N} $$ = 4 enhancements when a peculiar condition on the Chern-
Benjamin Assel +2 more
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CHERN CLASSES WITH MODULUS [PDF]
Nagoya Mathematical Journal, 2019 In this paper, we construct Chern classes from the relative $K$-theory of modulus pairs to the relative motivic cohomology defined by Binda–Saito. An application to relative motivic cohomology of henselian dvr is given.
RYOMEI IWASA, WATARU KAI
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Stiefel-Whitney topological charges in a three-dimensional acoustic nodal-line crystal
Nature Communications, 2023 Band topology of materials describes the extent Bloch wavefunctions are twisted in momentum space. Such descriptions rely on a set of topological invariants, generally referred to as topological charges, which form a characteristic class in the ...
Haoran Xue +6 more
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On the group of zero-cycles of holomorphic symplectic varieties [PDF]
Épijournal de Géométrie Algébrique, 2020 For a moduli space of Bridgeland-stable objects on a K3 surface, we show that the Chow class of a point is determined by the Chern class of the corresponding object on the surface.
Alina Marian, Xiaolei Zhao
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Chern class formulas for classical-type degeneracy loci [PDF]
Compositio Mathematica, 2015 Employing a simple and direct geometric approach, we prove formulas for a large class of degeneracy loci in types B, C, and D, including those coming from all isotropic Grassmannians.
David Anderson, W. Fulton
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Chern-Weil global symmetries and how quantum gravity avoids them
Journal of High Energy Physics, 2021 We draw attention to a class of generalized global symmetries, which we call “Chern-Weil global symmetries,” that arise ubiquitously in gauge theories. The Noether currents of these Chern-Weil global symmetries are given by wedge products of gauge field ...
Ben Heidenreich +5 more
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Chern classes and extraspecial groups [PDF]
Manuscripta Mathematica, 1995 The mod-p cohomology ring of the extraspecial p-group of exponent p is studied for odd p. We investigate the subquotient ch(G) generated by Chern classes modulo the nilradical. The subring of ch(G) generated by Chern classes of one-dimensional representations was studied by Tezuka and Yagita.
Green, David J., Leary, Ian J.
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Biharmonic almost complex structures
Forum of Mathematics, Sigma, 2023 This project uses methods in geometric analysis to study almost complex manifolds. We introduce the notion of biharmonic almost complex structure on a compact almost Hermitian manifold and study its regularity and existence in dimension four.
Weiyong He
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Vertex operator algebras and topologically twisted Chern-Simons-matter theories
Journal of High Energy Physics, 2023 We consider several topologically twisted Chern-Simons-matter theories and propose boundary VOAs whose module categories should model the category of line operators of the 3d bulk.
Niklas Garner
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