Affiliation:
1. Matematički fakultet , Studentski trg 16 , Beograd , SERBIA
Abstract
ABSTRACT
In [ACG+1] and [ACG+2], it is shown that a complement of a neighborhood of a partially smoothed total toric divisor of a closed toric symplectic 4-manifold is a Weinstein domain. In this article, we extend the family of Weinstein domains that can be realized as such complements by producing an infinite family of new examples.
Reference14 articles.
1. ACU, B.—CAPOVILLA-SEARLE, O.—GADBLED, A.—MARINKOVIĆ, A.—MURPHY, E.— STARKSTON, L.—WU, A.: An introduction to Weinstein handlebodies for complements of smoothed toric divisors, Proceedings of the Research Collaboration Conference for Women in Symplectic Geometry and Contact Topology, Springer International Publishing, Cham, 2021, pp. 217–243,
2. ACU, B.—CAPOVILLA-SEARLE, O.—GADBLED, A.—MARINKOVIĆ, A.—MURPHY, E.— STARKSTON, L.—WU, A.: Weinstein handlebodies for complements of smoothed toric divisors, Mem. Amer. Math. Soc. accepted, [arXiv:2012.08666].
3. ATIYAH, M.: Convexity and commuting Hamiltonians, Bull. London Math. Soc. 14 (1982), 1–15.
4. AUROUX, D.: Special Lagrangian fibrations, wall-crossing, and mirror symmetry, In: Geometry, Anal- ysis, and Algebraic Geometry: Forty Years of the Journal of Differential Geometry (Cao, H.-D. and Yau, S.-T., eds.), Surveys in Differential Geometry, vol. 13, International Press, Somerville, 2009, 1–47.
5. CANNAS DA SILVA, A.: Symplectic toric manifolds, Symplectic geometry of integrable Hamiltonian systems, Barcelona, 2001, Adv. Courses Math. CRM Barcelona, Birkhauser, Basel, 2003, 85–173.