Related papers: On Beilinson's Hodge and Tate conjectures for open…
A new bound for the rank of the intersection of finitely generated subgroups of a free group is given, formulated in topological terms, and very much in the spirit of Stallings. The bound is a contribution to (although unfortunately not a…
This historical introduction is in two parts. The first is reprinted with permission from ``A century of mathematics in America, Part II,'' Hist. Math., 2, Amer. Math. Soc., 1989, pp.543-585. Virtually no change has been made to the…
This paper has been withdrawn.
We study the relation between the vanishing of Andr\'{e}-Quillen homology and complete intersection flat dimension and we extend some of the existing results in the literature.
A new complete invariant for acyclic graphs is presented
Theory of $n$-complements with applications is presented.
The present paper proposes a new condition to replace both the ($O$-regularly varying) quasimonotone condition and a certain type of bounded variation condition, and shows the same conclusion for the uniform convergence of certain…
We give a counterexample to a recently conjectured variant of the Penrose inequality.
Assuming natural variational realization conjectures, we give uniform bounds for the obstruction to the integral Tate conjecture in 1-dimensional families of algebraic varieties over an infinite finitely generated field.
Comments on NC Abelian Higgs model withdrawn. An improved treatment of NC U(2) adjoint models to appear elsewhere.
The purpose of this note is to correct statements of some assertions in \cite{l}.
Theoretical remarks are offered regarding recent hadron collider results on the mixing and decays of $B_s$ mesons. Topics covered include: (1) CP-violating mixing in $B_s(\ob_s) \to J/\psi \phi$, (2) the D0 dimuon charge asymmetry, (3)…
We provide new sufficient conditions under which Ryser's conjecture holds.
We discuss both simple and more subtle connections between the numbers of permutations and full cycles with some restrictions,in particular, between the numbers of permutations and full cycles with prescribed up-down structure.
The goal of this note is to affirm a local version of the conjecture of Nisse--Sottile [NS16] on higher convexity of complements of tropical varieties, while providing a family of counter-examples for the global Nisse--Sottle conjecture in…
For a smooth, projective complex variety, we introduce several mixed Hodge structures associated to higher algebraic cycles. Most notably, we introduce a mixed Hodge structure for a pair of higher cycles which are in the refined normalized…
In this paper has been withrawn by the author due the error in the proof of theoem 1.
This paper has been withdrawn: it has been merged with the preprint to which it refers.
We prove the complete intersection theorem and complete nontrivial-intersection theorem for systems of set partitions
This paper has been superseded by hep-th/0303164, "The Dirichlet Obstruction in AdS/CFT"