Results 41 to 50 of about 3,692,977 (264)
Quillen's relative Chern character is multiplicative [PDF]
, 2007 In the 80's, Quillen constructed a de Rham relative cohomology class associated to a smooth morphism between vector bundles, that we call the relative Quillen Chern character.
Paradan, Paul-Emile, Vergne, Michèle
core +9 more sources
Almost complex 4-manifolds with vanishing first Chern class [PDF]
, 2006 An odd Seiberg-Witten invariant imposes bounds on the signature of a closed, almost complex 4-manifold with vanishing first Chern class. This applies in particular to symplectic 4-manifolds of Kodaira dimension zero.
S. Bauer
semanticscholar +1 more source
Regularization of closed positive currents and intersection theory
Complex Manifolds, 2017 We prove the existence of a closed regularization of the integration current associated to an effective analytic cycle, with a bounded negative part.
Méo Michel
doaj +1 more source
OBSTRUCTIONS TO ALGEBRAIZING TOPOLOGICAL VECTOR BUNDLES
Forum of Mathematics, Sigma, 2019 Suppose $X$ is a smooth complex algebraic variety. A necessary condition for a complex topological vector bundle on $X$ (viewed as a complex manifold) to be algebraic is that all Chern classes must be algebraic cohomology classes, that is, lie in the ...
A. ASOK, J. FASEL, M. J. HOPKINS
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Algebraic construction of Witten's top Chern class [PDF]
, 2000 We give a construction of Witten's "top Chern class" on the compactified moduli space of curves with higher spin structures and show that it satisfies most of the axioms proposed in math.AG/9905034.
A. Polishchuk, A. Vaintrob
semanticscholar +1 more source
Transactions of the American Mathematical Society, 2018 The crystalline Chern classes of the value of a locally free crystal vanish on a smooth variety defined over a perfect field. Out of this we conclude new cases of de Jong’s conjecture relating the geometric étale fundamental group of a smooth projective variety defined over an algebraically closed field and the constancy of its category of isocrystals.
Hélène Esnault, Atsushi Shiho
openaire +3 more sources
Orientifold limits of singular F-theory vacua
Nuclear Physics B, 2020 We construct global orientifold limits of singular F-theory vacua whose associated gauge groups are SO(3), SO(5), SO(6), F4, SU(4), and Spin(7). For each limit we show a universal tadpole relation is satisfied, which is a homological identity whose ...
James Fullwood, Dongxu Wang
doaj +1 more source
Witten’s top Chern class on the moduli space of higher spin curves [PDF]
, 2002 This paper is a sequel to [9]. Its goal is to verify that the virtual top Chern class c 1/r in the Chow group of the moduli space of higher spin curves \(\overline M _{{g,n}}^{{1/r}} \) constructed in [9], satisfies all the axioms of spin virtual class ...
A. Polishchuk
semanticscholar +1 more source
Phase transitions in the diagonal ensemble of two-band Chern insulators
New Journal of Physics, 2016 We identify a new class of phase transitions when calculating the Hall conductance of two-band Chern insulators in the long-time limit after a global quench of the Hamiltonian.
Pei Wang, Stefan Kehrein
doaj +1 more source
A Secondary Chern-Euler Class [PDF]
The Annals of Mathematics, 1999 Let xi be a smooth oriented vector bundle, with n-dimensional fibre, over a smooth manifold M. Denote by xi-hat the fibrewise one-point compactification of xi. The main purpose of this paper is to define geometrically a canonical element Upsilon(xi) in H^n(xi-hat,Q) (H^n(xi-hat,Z) tensor 1/2, to be more precise).
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