Results 31 to 40 of about 77 (64)

Localizing virtual structure sheaves for almost perfect obstruction theories

Forum of Mathematics, Sigma, 2020
Almost perfect obstruction theories were introduced in an earlier paper by the authors as the appropriate notion in order to define virtual structure sheaves and K-theoretic invariants for many moduli stacks of interest, including K-theoretic Donaldson ...
Young-Hoon Kiem, Michail Savvas
doaj   +1 more source

DONALDSON–THOMAS INVARIANTS OF LOCAL ELLIPTIC SURFACES VIA THE TOPOLOGICAL VERTEX

Forum of Mathematics, Sigma, 2019
We compute the Donaldson–Thomas invariants of a local elliptic surface with section. We introduce a new computational technique which is a mixture of motivic and toric methods. This allows us to write the partition function for the invariants in terms of
JIM BRYAN, MARTIJN KOOL
doaj   +1 more source

Mirror symmetry for concavex vector bundles on projective spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 3, Page 159-197, 2003., 2003
Let X ⊂ Y be smooth, projective manifolds. Assume that ι : X → ℙs is the zero locus of a generic section of V+ = ⊕i∈I𝒪(ki), where all the ki′s are positive. Assume furthermore that 𝒩X/Y = ι∗(V−), where V− = ⊕j∈J𝒪(−lj) and all the lj′s are negative. We show that under appropriate restrictions, the generalized Gromov‐Witten invariants of X inherited from
Artur Elezi
wiley   +1 more source

Framed sheaves over treefolds and symmetric obstruction theories

Documenta Mathematica, 2013
We note that open moduli spaces of sheaves over local Calabi-Yau surface geometries framed along the divisor at infinity admit symmetric perfect obstruction theories. We calculate the corresponding Donaldson-Thomas weighted Euler characteristics (as well
D. Oprea
semanticscholar   +1 more source

Multiple quantum products in toric varieties

International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 11, Page 675-686, 2002., 2002
We generalize the author′s formula for Gromov‐Witten invariants of symplectic toric manifolds (1999) to those needed to compute the quantum product of more than two classes directly, that is, involving the pullback of the Poincaré dual of the point class in the Deligne‐Mumford spaces ℳ¯0,m.
Holger Spielberg
wiley   +1 more source

Cluster Structures on Double Bott–Samelson Cells

Forum of Mathematics, Sigma, 2021
Let $\mathsf {C}$ be a symmetrisable generalised Cartan matrix. We introduce four different versions of double Bott–Samelson cells for every pair of positive braids in the generalised braid group associated to $\mathsf {C}$ .
Linhui Shen, Daping Weng
doaj   +1 more source

The log-open correspondence for two-component Looijenga pairs

Forum of Mathematics, Sigma
A two-component Looijenga pair is a rational smooth projective surface with an anticanonical divisor consisting of two transversally intersecting curves.
Yannik Schuler
doaj   +1 more source

Higher rank sheaves on threefolds and functional equations [PDF]

Épijournal de Géométrie Algébrique, 2019
We consider the moduli space of stable torsion free sheaves of any rank on a smooth projective threefold. The singularity set of a torsion free sheaf is the locus where the sheaf is not locally free. On a threefold it has dimension $\leq 1$.
Amin Gholampour, Martijn Kool
doaj   +1 more source

Quasimaps to moduli spaces of sheaves

Forum of Mathematics, Pi
We develop a theory of quasimaps to a moduli space of sheaves M on a surface S. Under some assumptions, we prove that moduli spaces of quasimaps are proper and carry a perfect obstruction theory.
Denis Nesterov
doaj   +1 more source

A placebo‐controlled, double‐blind study evaluating the effect of orally administered polyunsaturated fatty acids on the oclacitinib dose for atopic dogs

Veterinary Dermatology, Volume 35, Issue 4, Page 408-417, August 2024.
Background – Supplementation of polyunsaturated fatty acids (PUFA) enables dose reduction of prednisolone and ciclosporin in canine atopic dermatitis (cAD). Objective – To determine if oral administration of PUFA can reduce the dose of oclacitinib for cAD. Conclusion – Oral supplementation of PUFA allowed dose reduction of oclacitinib and improved pVAS,
Laura Schäfer, Nina Thom
wiley   +1 more source