Complex and symplectic structures on panelled web 4-manifolds

Kalafat, Mustafa
Arguez, Huelya
We analyze the symplectic and complex structures on the panelled web 4-manifolds of S. Akbulut and M. Kalafat [1]. In particular, we give infinite families of examples of almost complex but not symplectic and not complex 4-manifolds in the non-simply connected case.


Beyaz, Ahmet (2012-10-01)
In this note, the geography problem in dimension four is reviewed and then its extension to dimension six for the symplectic case is explained. Finally some examples in dimension six are provided.
The mapping class group is generated by two commutators
Baykur, R. Inanc; Korkmaz, Mustafa (2021-05-01)
We show that the mapping class group of any closed connected orientable surface of genus at least five is generated by only two commutators, and if the genus is three or four, by three commutators. (C) 2021 Elsevier Inc. All rights reserved.
Genus-3 Lefschetz Fibrations and Exotic 4-Manifolds with b(2)(+)=3
Altunöz, Tülin (2021-06-01)
We explicitly construct a genus-3 Lefschetz fibration over S-2, whose total space is T-2 x S-2 #6 (CP2) over bar using the monodromy of Matsumoto's genus-2 Lefschetz fibration. We then construct more genus-3 Lefschetz fibrations, whose total spaces are exotic minimal symplectic 4-manifolds 3CP(2)#q (CP2) over bar for q = 13,..., 19. We also generalize our construction to get genus-3k Lefschetz fibration structure on the 4-manifold Sigma(k) x S-2 #6 (CP2) over bar using the generalized Matsumoto's genus-2k L...
Universal groups of intermediate growth and their invariant random subgroups
Benli, Mustafa Gökhan; Nagnibeda, Tatiana (2015-07-01)
We exhibit examples of groups of intermediate growth with ergodic continuous invariant random subgroups. The examples are the universal groups associated with a family of groups of intermediate growth.
Group actions, non-Kähler complex manifolds and SKT structures
Poddar , Mainak; Singh Thakur , Ajay (Walter de Gruyter GmbH, 2018-2-2)
We give a construction of integrable complex structures on the total space of a smooth principal bundle over a complex manifold, with an even dimensional compact Lie group as structure group, under certain conditions. This generalizes the constructions of complex structure on compact Lie groups by Samelson and Wang, and on principal torus bundles by Calabi-Eckmann and others. It also yields large classes of new examples of non-Kähler compact complex manifolds. Moreover, under suitable restrictions on the ba...
Citation Formats
M. Kalafat and H. Arguez, “Complex and symplectic structures on panelled web 4-manifolds,” TOPOLOGY AND ITS APPLICATIONS, pp. 2168–2173, 2012, Accessed: 00, 2020. [Online]. Available: