Decomposability of (1,2)-Groups

12..Antalya Cebir Günleri, 19 - 22 May 2009


Decomposability of a Class of Almost completely decomposable Groups
Solak, Ebru (null; 2015-04-04)
Decomposability of quotients by complex conjugation for rational and Enriques surfaces
Finashin, Sergey (1997-09-02)
The quotients Y = X/conj by the complex conjugation conj:X --> X for complex rational and Enriques surfaces X defined over R are shown to be diffeomorphic to connected sums of <(CP)over bar>(2), whenever the Y are simply connected. (C) 1997 Elsevier Science B.V.
Deconfinement at N > 2: SU(N) Georgi-Glashow model in 2+1 dimensions
Kogan, II; Tekin, Bayram; Kovner, A (2001-05-01)
We analyse the deconfining phase transition in the SU(N) Georgi-Glashow model in 2 + 1 dimensions. We show that the phase transition is second order for any N, and the universality class is different from the Z(N) invariant Villain model. At large N the conformal theory describing the fixed point is a deformed SU(N)(1) WZNW model which has N - 1 massless fields. It is therefore likely that its self-dual infrared fixed point is described by the Fateev-Zamolodchikov theory of Z(N) parafermions.
Displaceability of Certain Constant Sectional Curvature Lagrangian Submanifolds
Şirikçi, Nil İpek (Springer Science and Business Media LLC, 2020-10-01)
We present an alternative proof of a nonexistence result for displaceable constant sectional curvature Lagrangian submanifolds under certain assumptions on the Lagrangian submanifold and on the ambient symplectically aspherical symplectic manifold. The proof utilizes an index relation relating the Maslov index, the Morse index and the Conley-Zehnder index for a periodic orbit of the flow of a specific Hamiltonian function, a result on this orbit's Conley-Zehnder index and another result on the Morse indices...
Decomposing perfect discrete Morse functions on connected sum of 3-manifolds
Kosta, Neza Mramor; Pamuk, Mehmetcik; Varli, Hanife (2019-06-15)
In this paper, we show that if a closed, connected, oriented 3-manifold M = M-1 # M-2 admits a perfect discrete Morse function, then one can decompose this function as perfect discrete Morse functions on M-1 and M-2. We also give an explicit construction of a separating sphere on M corresponding to such a decomposition.
Citation Formats
E. Solak, “Decomposability of (1,2)-Groups,” presented at the 12..Antalya Cebir Günleri, 19 - 22 May 2009, 2009, Accessed: 00, 2021. [Online]. Available: