We construct knot invariants categorifying the quantum knot variants for all representations of quantum groups. We show that these invariants coincide with previous invariants defined by Khovanov for . . . . .
We provide a formal introduction into the classic theorems of general topology and its axiomatic foundations in set theory. Starting from ZFC, the exposition in this first part includes relation and o . . . . .
Submanifold theory is a very active vast research field which plays an important role in the development of modern differential geometry. This branch of differential geometry is still so far from . . . . .
Campbell's Lie Algebras and Continuous Groups is a book I bought back in 1973. It is good that Internet Archive has made it permenant by digitizing it. When Sophus Lie did his research, the mathematic . . . . .
Determinantal process is a dynamical extension of a determinantal point process such that any spatio-temporal correlation function is given by a determinant specified by a single continuous function c . . . . .