Knots::along Oriented::setminus Manifold::''l'' Sum'''::''k'' Disjoint::together Choice::which
In mathematics, specifically in topology, the operation of connected sum is a geometric modification on manifolds. Its effect is to join two given manifolds together near a chosen point on each. This construction plays a key role in the classification of closed surfaces.
More generally, one can also join manifolds together along identical submanifolds; this generalization is often called the fiber sum. There is also a closely related notion of a connected sum on knots, called the knot sum or composition of knots.
Connected sum sections
Intro Connected sum at a point Connected sum along a submanifold Connected sum along a codimension-two submanifold Local operation Connected sum of knots See also Further reading
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