Toric vector bundles: GAGA and Hodge theory
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-020-02605-6
Abstract: We prove a GAGA-style result for toric vector bundles with smooth base and give an algebraic construction of the Frölicher approximating vector bundle that has recently been introduced by Dan Popovici using analytic techniques. Both… read more here.
Keywords: vector bundles; vector; gaga hodge; toric vector ... See more keywords
Nilpotent symmetries of a 4D model of Hodge theory: Augmented (anti-)chiral superfield formalism
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DOI: 10.1016/j.aop.2018.04.031
Abstract: Abstract We derive the continuous nilpotent symmetries of the four ( 3 + 1 ) -dimensional (4 D ) model of the Hodge theory (i.e. 4 D Abelian 2-form gauge theory) by exploiting the beauty… read more here.
Keywords: nilpotent symmetries; model hodge; hodge theory; anti brst ... See more keywords
Hodge theory of classifying stacks
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DOI: 10.1215/00127094-2018-0003
Abstract: We compute the Hodge and de Rham cohomology of the classifying space BG (defined as etale cohomology on the algebraic stack BG) for reductive groups G over many fields, including fields of small characteristic. These… read more here.
Keywords: classifying stacks; theory; topology; hodge theory ... See more keywords
Topology of Lagrangian fibrations and Hodge theory of hyper-Kähler manifolds
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DOI: 10.1215/00127094-2021-0010
Abstract: We establish a compact analog of the P = W conjecture. For a holomorphic symplectic variety with a Lagrangian fibration, we show that the perverse numbers associated with the fibration match perfectly with the Hodge… read more here.
Keywords: theory hyper; topology lagrangian; fibrations hodge; topology ... See more keywords