7 citations · 12 across the 4 of their papers we have counts for
4 papers
Drinfel'd Doubles, Twists and All That... in Stringy Geometry and M Theory
Aybike Çatal-Özer, Keremcan Doğan, Cem Yetişmişoğlu
Drinfel'd double of Lie bialgebroids plays an important role in T-duality of string theories. In the presence of and fluxes, Lie bialgebroids should be extended to proto Li…
Drinfel'd Double of Bialgebroids for String and M Theories: Dual Calculus Framework
Aybike Çatal-Özer, Keremcan Doğan, Cem Yetişmişoğlu
We extend the notion of Lie bialgebroids for more general bracket structures used in string and M theories. We formalize the notions of calculus and dual calculi on algebroids. We…
Metric-Connection Geometries on Pre-Leibniz Algebroids: A Search for Geometrical Structure in String Models
Tekin Dereli, Keremcan Dogan
The metric-affine and generalized geometries, respectively, are arguably the appropriate mathematical frameworks for Einstein's theory of gravity and the low-energy effective massl…
Spectral Singularities, Threshold Gain, and Output Intensity for a Slab Laser with Mirrors
Keremcan Doğan, Ali Mostafazadeh, Mustafa Sarısaman
We explore the consequences of the emergence of linear and nonlinear spectral singularities in TE modes of a homogeneous slab of active optical material that is placed between two…