A tropical motivic Fubini theorem with applications to Donaldson-Thomas Theory

DOI10.1215/00127094-2019-0003zbMath1429.14033arXiv1703.10228OpenAlexW3104374639WikidataQ127728125 ScholiaQ127728125MaRDI QIDQ2272791

Sam Payne, Johannes Nicaise

Publication date: 20 September 2019

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10228

zbMATH Keywords

semialgebraic setmotivic integrationtropical geometrynearby cyclesmotivic nearby fibermotivic volumeDonaldson-Thomas Theorytropicalization map

Mathematics Subject Classification ID

Geometric aspects of tropical varieties (14T20) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Arcs and motivic integration (14E18) Applications of tropical geometry (14T90)

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Motivic integration and Milnor fiber, Deformed dimensional reduction, A proof of the integral identity conjecture. II, Geometry of nondegenerate polynomials: motivic nearby cycles and cohomology of contact loci, Nearby motivic sheaves of weighted equivariant functions, Motivic volumes of fibers of tropicalization, Virtual rigid motives of semi-algebraic sets, Equivariant motivic integration and proof of the integral identity conjecture for regular functions, The motivic nearby fiber and degeneration of stable rationality, Specialization of birational types, Motivic virtual signed Euler characteristics and their applications to Vafa-Witten invariants, A proof of the $\ell$-adic version of the integral identity conjecture for polynomials

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