A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Study end sum for surfaces and prove uniqueness results.
Researchers found multiple ways to end-sum 4-manifolds, contradicting a previous conjecture.
An end sum is a non-compact analogue of a connected sum. Suppose we are given two connected, oriented -manifolds and . Recall that to form their connected sum one chooses an -ball in each , removes its interior, and then glues together the two boundary components thus created by an orien…
For oriented manifolds of dimension at least 4 that are simply connected at infinity, it is known that end summing is a uniquely defined operation. Calcut and Haggerty showed that more complicated fundamental group behavior at infinity can lead to nonuniqueness. The present paper examines how and when uniqueness fails.…
This paper concerns the class of contractible open 3-manifolds which are ``locally finite strong end sums'' of eventually end-irreducible Whitehead manifolds. It is shown that whenever a 3-manifold in this class is a covering space of another 3-manifold the group of covering translations must be a free group. It follow…
Constructs exotic proper 2-knots from open 2-handles.
Ends and cohomology theory for noncompact spaces.