Results 31 to 40 of about 531 (82)
A mirror theorem for the mirror quintic [PDF]
, 2012 The celebrated Mirror theorem states that the genus zero part of the A model (quantum cohomology, rational curves counting) of the Fermat quintic threefold is equivalent to the B model (complex deformation, variation of Hodge structure) of its mirror ...
Yuan-Pin Lee, Mark Shoemaker
semanticscholar +1 more source
Genus one enumerative invariants in del-Pezzo surfaces with a fixed complex structure [PDF]
, 2016 We obtain a formula for the number of genus one curves with a fixed complex structure of a given degree on a del-Pezzo surface that pass through an appropriate number of generic points of the surface.
Biswas, Indranil +2 more
core +3 more sources
Virasoro constraints for moduli spaces of sheaves on surfaces
Forum of Mathematics, Sigma, 2023 We introduce a conjecture on Virasoro constraints for the moduli space of stable sheaves on a smooth projective surface. These generalise the Virasoro constraints on the Hilbert scheme of a surface found by Moreira and Moreira, Oblomkov, Okounkov and ...
Dirk van Bree
doaj +1 more source
The moduli space of stable quotients [PDF]
, 2009 A moduli space of stable quotients of the rank n trivial sheaf on stable curves is introduced. Over nonsingular curves, the moduli space is Grothendieck’s Quot scheme. Over nodal curves, a relative construction is made to keep the torsion of the quotient
A. Marian, D. Oprea, R. Pandharipande
semanticscholar +1 more source
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
The Quantum Lefschetz Hyperplane Principle Can Fail for Positive Orbifold Hypersurfaces [PDF]
, 2012 We show that the Quantum Lefschetz Hyperplane Principle can fail for certain orbifold hypersurfaces and complete intersections.
Coates, Tom +5 more
core +2 more sources
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
The DT/PT correspondence for smooth curves [PDF]
, 2018 We show a version of the DT/PT correspondence relating local curve counting invariants, encoding the contribution of a fixed smooth curve in a Calabi-Yau threefold.
Ricolfi, Andrea T.
core +3 more sources