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pro vyhledávání: '"Georgieva, Penka"'
Autor:
Georgieva, Penka, Zinger, Aleksey
We describe properties of the previously constructed all-genus real Gromov-Witten theory in the style of Kontsevich-Manin's axioms and other classical equations and reconstruction results of complex Gromov-Witten theory.
Comment: 42 pages, 3 fig
Comment: 42 pages, 3 fig
Externí odkaz:
http://arxiv.org/abs/2311.11999
Autor:
Georgieva, Penka, Zinger, Aleksey
We collect geometric properties of the all-genus real Gromov-Witten theory and provide updates on its development since its introduction in 2015. We bring attention to a modification of the original construction of this theory which is applicable in
Externí odkaz:
http://arxiv.org/abs/2311.11994
It is a long-established and heavily-used fact that the integral cohomology ring of the Deligne-Mumford moduli space of (complex) rational curves is the polynomial ring on the boundary divisors modulo the ideal generated by the obvious geometric rela
Externí odkaz:
http://arxiv.org/abs/2305.08798
Motivated by the real version of the Gopakumar-Vafa conjecture for 3-folds, the authors introduced in [GI] the notion of local real Gromov-Witten invariants associated to local 3-folds over Real curves. This article is devoted to the proof of a split
Externí odkaz:
http://arxiv.org/abs/2005.05928
Publikováno v:
Advances in Math 391 (2021), 1-70
In this paper we study the Real Gromov-Witten theory of local 3-folds over Real curves. We show that this gives rise to a 2-dimensional Klein TQFT defined on an extension of the category of unorientable surfaces. We use this structure to completely s
Externí odkaz:
http://arxiv.org/abs/1812.02505
Publikováno v:
In Advances in Mathematics 19 November 2021 391
Autor:
Georgieva, Penka, Zinger, Aleksey
The present note overviews our recent construction of real Gromov-Witten theory in arbitrary genera for many real symplectic manifolds, including the odd-dimensional projective spaces and the renowned quintic threefold, its properties, and its connec
Externí odkaz:
http://arxiv.org/abs/1512.07220
Autor:
Georgieva, Penka, Zinger, Aleksey
We give an alternative argument for the classification of real bundle pairs over smooth symmetric surfaces and extend this classification to nodal symmetric surfaces. We also classify the homotopy classes of automorphisms of real bundle pairs over sy
Externí odkaz:
http://arxiv.org/abs/1512.07216
Autor:
Georgieva, Penka, Zinger, Aleksey
The first part of this work constructs real positive-genus Gromov-Witten invariants of real-orientable symplectic manifolds of odd "complex" dimensions; the second part studies the orientations on the moduli spaces of real maps used in constructing t
Externí odkaz:
http://arxiv.org/abs/1510.07568
Autor:
Brugalle, Erwan, Georgieva, Penka
We establish a formula for the Gromov-Witten-Welschinger invariants of $\mathbb CP^3$ with mixed real and conjugate point constraints. The method is based on a suggestion by J. Koll\'ar that, considering pencils of quadrics, some real and complex enu
Externí odkaz:
http://arxiv.org/abs/1508.02560