Results 21 to 30 of about 515 (73)
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
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
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
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
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
On the rigidity of stable maps to Calabi-Yau threefolds [PDF]
, 2006 If X is a nonsingular curve in a Calabi--Yau threefold Y whose normal bundle N_{X/Y} is a generic semistable bundle, are the local Gromov-Witten invariants of X well defined? For X of genus two or higher, the issues are subtle.
Bryan, Jim, Pandharipande, Rahul
core +2 more sources
On solutions to Walcher's extended holomorphic anomaly equation [PDF]
, 2007 We give a generalization of Yamaguchi--Yau's result to Walcher's extended holomorphic anomaly equation.Comment: 19 pages, 3 figures, (v2) a reference ...
Konishi, Yukiko, Minabe, Satoshi
core +2 more sources
Behavior of Welschinger Invariants under Morse Simplifications [PDF]
, 2012 We relate Welschinger invariants of a rational real symplectic 4-manifold before and after a Morse simplification (i.e deletion of a sphere or a handle of the real part of the surface).
Brugallé, Erwan, Puignau, Nicolas
core +1 more source
Logarithmic asymptotics of the genus zero Gromov-Witten invariants of the blown up plane
, 2005 We study the growth of the genus zero Gromov-Witten invariants GW_{nD} of the projective plane P^2_k blown up at k points (where D is a class in the second homology group of P^2_k).
Di Francesco +11 more
core +6 more sources
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