  A simple and elegant arrangement of stock components of a portfolio (market
index-DJIA) in a recent paper [1], has led to the construction of crossing of
stocks diagram. The crossing stocks method revealed hidden remarkable algebraic
and geometrical aspects of stock market. The present paper continues to uncover
new mathematical structures residing from crossings of stocks diagram by
introducing topological properties stock market is endowed with. The crossings
of stocks are categorized as overcrossings and undercrossings and interpreted
as generators of braid that stocks form in the process of prices quotations in
the market. Topological structure of the stock market is even richer if the
closure of stocks braid is considered, such that it forms a knot. To
distinguish the kind of knot that stock market forms, Alexander-Conway
polynomial and the Jones polynomials are calculated for some knotted stocks.
These invariants of knots are important for the future practical applications
topological stock market might have. Such application may account of the
relation between Jones polynomial and phase transition statistical models to
provide a clear way to anticipate the transition of financial markets to the
phase that leads to crisis. The resemblance between braided stocks and logic
gates of topological quantum computers could quantum encode the stock market
behavior.
