Related papers: Corks

We discuss corks, and introduce new objects which we call plugs. Though plugs are fundamentally different objects, they also detect exotic smooth structures in 4-manifolds like corks. We discuss relation between corks, plugs and rational…

We construct an infinite order loose cork.

Some formulas and speculations are presented relative to integrable systems and quantum mechanics.

These informal notes briefly discuss various aspects of Cantor sets.

A cork is a smooth, contractible, oriented, compact 4-manifold $W$ together with a self-diffeomorphism $f$ of the boundary 3-manifold that cannot extend to a self-diffeomorphism of $W$; the cork is said to be strong if $f$ cannot extend to…

Here we discuss $r-$shake slice knots, and their relation to corks, we then prove that $0$-shake slice knots are slice.

Remarks on the life and work of Paul Erdos.

This is a response to the commentaries on "CoRR: A Computing Research Repository".

Some notes and observations on analytic functions defined on an annulus

New cases of the multiplicity conjecture are considered.

We investigate two specific contractible manifolds (one Stein, and the other non-Stein) whose boundaries have non-trivial mapping class groups. In both cases we show that every diffeomorphism of their boundary extends to a diffeomorphism of…

We construct an infinite order cork (W,f), which means that W is a smooth compact contractible 4-manifold with Stein structure, and f is a self diffeomorphism of the boundary of W, such that the n-fold composition maps f^{n}=f o f o... o f…

Remarks on mathematical proof and the practice of mathematics.

We present several results, including some remarks on the Hopf Lemma.

We survey some results on toric topology.

We show that for any po sitive integer $m$, there exist order $n$ Stein corks. The boundaries are cyclic branched covers of slice knots embedded in the boundary of corks. By applying these corks to generalized forms, we give a method…

A conjecture regarding the structure of expander graphs is discussed.

The notion of a Frobenius coring is introduced, and it is shown that any such coring produces a tower of Frobenius corings and Frobenius extensions. This establishes a one-to-one correspondence between Frobenius corings and extensions.

Alternative approaches to Lebesgue integration are considered.

Robin's Conjecture is strengthened, deformed, and proved. Nicolas conjecture follows.