Tiffany Covolo

activity

20112020

most citedHigher Trace and Berezinian of Matrices over a Clifford Algebra

30 citations · 103 across the 9 of their papers we have counts for

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8 papers · 1 filter

math.DG2020★ 10 cited

Local Forms of Morphisms of Colored Supermanifolds

Tiffany Covolo, Stephen Kwok, Norbert Poncin

In \cite{Covolo:2016}, \cite{Covolo:2012} and \cite{Poncin:2016}, we introduced the category of colored supermanifolds ( $Z_{2}^{n}$ -super\-ma\-ni\-folds or just $\mathbb{Z}_2^…

math.DG2016★ 6 cited

The Frobenius theorem for $Z_{2}^{n}$ -supermanifolds

Tiffany Covolo, Stephen Kwok, Norbert Poncin

We continue the development of $Z_{2}^{n}$ -supergeometry, a natural generalization of classical ( $Z_{2}$ -graded) supergeometry, by proving the Frobenius theorem for int…

math.DG2016★ 8 cited

Differential calculus on $Z_{2}^{n}$ -supermanifolds

Tiffany Covolo, Stephen Kwok, Norbert Poncin

The concept of $\Zn$-supermanifold has been recently proposed as a natural generalization of classical ($\Zs$-graded) supergeometry, allowing for more complicated commutativity con…

math.DG2016★ 26 cited

Splitting theorem for $Z_{2}^{n}$ -supermanifolds

Tiffany Covolo, Janusz Grabowski, Norbert Poncin

Smooth $Z_{2}^{n}$ -supermanifolds have been introduced and studied recently. The corresponding sign rule is given by the "scalar product" of the involved $Z_{2}^{n}$ -degr…

math.DG2016★ 2 cited

The category of $Z_{2}^{n}$ -supermanifolds

Tiffany Covolo, Janusz Grabowski, Norbert Poncin

In Physics and in Mathematics $Z_{2}^{n}$ -gradings, $n > 1$ , appear in various fields. The corresponding sign rule is determined by the `scalar product' of the involved $\mathbb…

math.DG2014★ 4 cited

$Z_{2}^{n}$ -Supergeometry II: Batchelor-Gawedzki Theorem

Tiffany Covolo, Janusz Grabowski, Norbert Poncin

Quite a number of $Z_{2}^{n}$ -gradings, $n \geq 2$ , appear in Physics and in Mathematics. The corresponding sign rules are given by the `scalar product' of the involved $\mathb…

math.DG2014★ 10 cited

$Z_{2}^{n}$ -Supergeometry I: Manifolds and Morphisms

Tiffany Covolo, Janusz Grabowski, Norbert Poncin

In Physics and in Mathematics $Z_{2}^{n}$ -gradings, $n \geq 2$ , do appear quite frequently. The corresponding sign rules are determined by the `scalar product' of the involved…

math.DG2011★ 30 cited

Higher Trace and Berezinian of Matrices over a Clifford Algebra

Tiffany Covolo, Valentin Ovsienko, Norbert Poncin

We define the notions of trace, determinant and, more generally, Berezinian of matrices over a (Z_2)^n graded commutative associative algebra. The applications include a new approa…

Local Forms of Morphisms of Colored Supermanifolds

The Frobenius theorem for Z2n​-supermanifolds

Differential calculus on Z2n​-supermanifolds

Splitting theorem for Z2n​-supermanifolds

The category of Z2n​-supermanifolds

Z2n​-Supergeometry II: Batchelor-Gawedzki Theorem

Z2n​-Supergeometry I: Manifolds and Morphisms

Higher Trace and Berezinian of Matrices over a Clifford Algebra

The Frobenius theorem for $Z_{2}^{n}$ -supermanifolds

Differential calculus on $Z_{2}^{n}$ -supermanifolds

Splitting theorem for $Z_{2}^{n}$ -supermanifolds

The category of $Z_{2}^{n}$ -supermanifolds

$Z_{2}^{n}$ -Supergeometry II: Batchelor-Gawedzki Theorem

$Z_{2}^{n}$ -Supergeometry I: Manifolds and Morphisms