Mapping class groups presentations representations and relations with symplectic manifolds



Mapping class groups of nonorientable surfaces
Korkmaz, Mustafa (2002-02-01)
We obtain a finite set of generators for the mapping class group of a nonorientable surface with punctures. We then compute the first homology group of the mapping class group and certain subgroups of it. As an application we prove that the image of a homomorphism from the mapping class group of a nonorientable surface of genus at least nine to the group of real-analytic diffeomorphisms of the circle is either trivial or of order two.
Tame concealed algebras and cluster quivers of minimal infinite type
Buan, Aslak Bakke; Reiten, Idun; Seven, Ahmet İrfan (Elsevier BV, 2007-10)
The well-known list of Happel–Vossieck of tame concealed algebras in terms of quivers with relations, and the list of A. Seven of minimal infinite cluster quivers are compared. There is a 1-1 correspondence between the items in these lists, and we explain how an item in one list naturally corresponds to an item in the other list. A central tool for understanding this correspondence is the theory of cluster-tilted algebras.
Transformation of Space and Representation Theories
Savaş Sargın, Ayşen (null; 2017-07-12)
Invariant homomorphisms of nonstandard enlargements of Boolean algebras and vector lattices
Emelyanov, Eduard (1997-03-01)
Invariant subspaces of positive operators on riesz spaces and observations on cd0(K)-spaces
Çağlar, Mert; Ercan, Zafer; Department of Mathematics (2005)
The present work consists of two main parts. In the first part, invariant subspaces of positive operators or operator families on locally convex solid Riesz spaces are examined. The concept of a weakly-quasinilpotent operator on a locally convex solid Riesz space has been introduced and several results that are known for a single operator on Banach lattices have been generalized to families of positive or close-to-them operators on these spaces. In the second part, the so-called generalized Alexandroff dupl...
Citation Formats
M. Korkmaz, “Mapping class groups presentations representations and relations with symplectic manifolds,” 2015, Accessed: 00, 2021. [Online]. Available: