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pro vyhledávání: '"Otto, Carolyn"'
In groundbreaking work from 2004, Cimasoni gave a geometric computation of the multivariable Conway potential function in terms of a generalization of a Seifert surface for a link called a C-complex. Lemma 3 of that paper provides a family of moves w
Externí odkaz:
http://arxiv.org/abs/2105.10495
Publikováno v:
In Topology and its Applications 1 October 2021 302
Autor:
Martin, Taylor E., Otto, Carolyn
We establish several results about two short exact sequences involving lower terms of the $n$-solvable filtration, $\{\mathcal{F}^m_n\}$ of the string link concordance group $\mathcal{C}^m$. We utilize the Thom-Pontryagin construction to show that th
Externí odkaz:
http://arxiv.org/abs/1606.00481
Cochran, Orr, and Teichner developed a filtration of the knot concordance group indexed by half integers called the solvable filtration. Its terms are denoted by $\mathcal{F}_n$. It has been shown that $\mathcal{F}_n/\mathcal{F}_{n.5}$ is a very larg
Externí odkaz:
http://arxiv.org/abs/1606.00479
Autor:
Otto, Carolyn
Publikováno v:
Algebr. Geom. Topol. 14 (2014) 2627-2654
We establish several new results about both the (n)-solvable filtration, F_n^m, of the set of link concordance classes and the (n)-solvable filtration of the string link concordance group. We first establish a relationship between Milnor's invariants
Externí odkaz:
http://arxiv.org/abs/1211.1423
Autor:
Decleene, Chris, Otto, Carolyn, Penkava, Michael, Phillipson, Mitch, Steinbach, Ryan, Weber, Eric
In this paper, we study the moduli space of $1|2$-dimensional complex associative algebras, which is also the moduli space of codifferentials on the tensor coalgebra of a $2|1$-dimensional complex space. We construct the moduli space by considering e
Externí odkaz:
http://arxiv.org/abs/0910.5951
Autor:
Bodin, Derek, DeCleene, Chris, Hager, William, Otto, Carolyn, Penkava, Michael, Phillipson, Mitch, Steinbach, Ryan, Weber, Eric
In this paper, we study moduli spaces of 2-dimensional complex associative algebras. We give a complete calculation of the cohomology of every element in the moduli space, as well as compute their versal deformations.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/0903.5004
Autor:
Bodin, Derek, DeCleene, Christopher, Hager, William, Otto, Carolyn, Penkava, Michael, Phillipson, Mitch, Steinbach, Ryan, Weber, Eric
In this paper, we study the moduli space of $1|1$-dimensional complex associative algebras. We give a complete calculation of the cohomology of every element in the moduli space, as well as compute their versal deformations.
Comment: 22 pages
Comment: 22 pages
Externí odkaz:
http://arxiv.org/abs/0903.4994
Autor:
Otto, Carolyn, Penkava, Michael
In this paper, we consider the versal deformations of three dimensional Lie algebras. We classify Lie algebras and study their deformations by using linear algebra techniques to study the cohomology. We will focus on how the deformations glue the spa
Externí odkaz:
http://arxiv.org/abs/math/0510207