## 11,017 Citations

### Homology and homotopy groups of the complement of certain family of fibers in a critical point problem.

- Mathematics
- 2005

In this paper we improve the results of [5] by showing that the collection of fibers over a closed countable subset of the base space of a dierentiable fibration

### Derived Algebraic Geometry III: Commutative Algebra

- Mathematics
- 2007

This paper describes a higher-categorical version of the theory of colored operads, giving applications to the study of commutative ring spectra.

### Smooth covers of finite groups.

- Mathematics
- 2019

In the spirit of the homology theory where algebraic and geometric concepts merge, we establish that a natural order preserving condition for covering groups corresponds to having a smooth covering…

### Commutativeness of Fundamental Groups of Topological Groups

- MathematicsFormaliz. Math.
- 2013

It is proved that fundamental groups based at the unit point of topological groups are commutative and the inequality of the following types of groups is solved.

### A Spectral Perspective on Neumann-Zagier

- Mathematics
- 2014

We provide a new topological interpretation of the symplectic properties of glu- ing equations for triangulations of hyperbolic 3-manifolds, rst discovered by Neumann and

### The Comparison of K-Theory and TC

- Mathematics
- 2013

This chapter begins with a proof that the difference between algebraic K-theory and topological cyclic homology is “locally constant” by means of a hands-on approach, nesting our way down from the…

### On the Cohomology of the Complement of a Toral Arrangement

- Mathematics
- 1999

The dissertation uses a number of mathematical formula including de Rham cohomology with complex coefficients to state and prove extension of Brieskorn's Lemma theorem.

### Automorphisms of Free Groups and Outer Space

- Mathematics
- 2002

This is a survey of recent results in the theory of automorphism groups of finitely-generated free groups, concentrating on results obtained by studying actions of these groups on Outer space and its…

### Treatment of the cyclic homology through topological spaces

- MathematicsInternational Journal of Scientific and Research Publications
- 2022

- The purpose of this paper is proving the analysis of vanishing and non-vanishing cyclic and reflexive (co)homology groups of algebras. Additionally, we present and prove some of the results and…