M. Bakuradze

activity

20032025

most citedTransfer and complex oriented cohomology rings

12 citations · 29 across the 15 of their papers we have counts for

collaborators

16 papers

math.KT2025

On equivariant embeddings of G-bundles

Malkhaz Bakuradze, Ralf Meyer

For a compact group G, we give a sufficient condition for embedding one G-equivariant vector bundle into another one and for a stable isomorphism between two such bundles to imply…

math.KT2025

Isomorphism and stable isomorphism in "real" and "quaternionic" K-theory

Malkhaz Bakuradze, Ralf Meyer

We find lower bounds on the rank of a "real" vector bundle over an involutive space, such that "real" vector bundles of higher rank have a trivial summand and such that a stable is…

math.AT2023

Complex cobordism modulo $c_{1}$ -spherical cobordism and related genera

Malkhaz Bakuradze

We prove that the ideal in complex cobordism ring $\MU^*$ generated by the polynomial generators $S = (x_{1}, x_{k}, k \geq 3)$ of $c_{1}$ -spherical cobordism ring $W^{*}$ , viewed as elements…

math.AT2022

Complex cobordism MU $^{} [1/2]$ modulo MSU $^{} [1/2]$ and related genera

Malkhaz Bakuradze

This paper presents a commutative complex oriented cohomology theory with coefficients the quotient ring of complex cobordism MU $^{*} [1/2]$ modulo the ideal generated by any subseque…

math.AT2021★ 2 cited

Polynomial generators of msu*[1/2] related to classifying maps of certain formal group laws

Malkhaz Bakuradze

This paper presents a commutative complex-oriented cohomology theory that realizes the Buchstaber formal group law localized away from 2. Also, the restriction of the classifying m…

math.AT2019

On vanishing of all fourfold products of the Ray classes in symplectic cobordism

Malkhaz Bakuradze

This note provides certain computations with transfer associated with projective bundles of Spin vector bundles. One aspect is to revise the proof of the main result of \cite{B} wh…

math.AT2017

On addition theorems related to elliptic integrals

Malkhaz Bakuradze, Vladimir Vershinin

This paper provides some explicit formulas related to addition theorems for elliptic integrals $\int_{0}^{x} d t / R (t)$ , where $R (t)$ is the square root from a polynomial of degree 4. Th…

math.AT2016

All extensions of $C_{2}$ by $C_{2^{n + 1}} \times C_{2^{n + 1}}$ are good

Malkhaz Bakuradze

Let $C_{m}$ be a cyclic group of order $m$ . We prove that if the group $G$ fits into an extension $1 \to C_{2^{n + 1}}^{2} \to G \to C_{2} \to 1$ then $G$ is good in the sense of Hopkins-Ku…

math.AT2015

Polynomial behavior of the Honda formal group law

Malkhaz Bakuradze

This note provides the calculation of the formal group law $F (x, y)$ in modulo $p$ Morava $K$ -theory at prime $p$ and $s > 1$ as an element in $K (s)^{*} [x] [[y]]$ and one application to…

math.AT2014★ 1 cited

Morava k(s)^* -rings of the extensions of C_p by the products of good groups under diagonal action

Malkhaz Bakuradze

This note provides a theorem on good groups in the sense of Hopkins-Kuhn-Ravenel and some relevant examples.

math.AT2014

Morava K-theory rings of the extensions of C_2 by the products of cyclic 2-groups

Malkhaz Bakuradze, Natia Gachechiladze

In \cite{SCH1} Schuster proved that $m o d$ 2 Morava $K$ -theory $K (s)^{*} (B G)$ is evenly generated for all groups $G$ of order 32. There exist 51 non-isomorphic groups of order 32. In…

math.AT2013

Some explicit expressions concerning formal group laws

Malkhaz Bakuradze, Mamuka Jibladze

This paper provides some explicit expressions concerning the formal group laws of the Brown-Peterson cohomology, the cohomology theory obtained from Brown-Peterson theory by killin…

math.AT2013★ 9 cited

Computing the Krichever genus

Malkhaz Bakuradze

Let $ψ$ denote the genus that corresponds to the formal group law having invariant differential $ω (t)$ equal to $1 + p_{1} t + p_{2} t^{2} + p_{3} t^{3} + p_{4} t^{4}$ and let $κ$ classify the formal…

math.AT2011★ 5 cited

K^*(BG) rings for groups $G = G_{38}, ..., G_{41}$ of order 32

Malkhaz Bakuradze, Mamuka Jibladze

B. Schuster \cite{SCH1} proved that the $m o d$ 2 Morava $K$ -theory $K (s)^{*} (B G)$ is evenly generated for all groups $G$ of order 32. For the four groups $G$ with the numbers 38, 39,…

math.AT2011

Mod 2 Morava K-theory for Frobenius complements of exponent dividing 2^n 9

Malkhaz Bakuradze

We determine the cohomology rings K(s)*(BG) at 2 for all finite Frobenius complements G of exponent dividing 2n 9.

math.AT2003★ 12 cited

Transfer and complex oriented cohomology rings

Malkhaz Bakuradze, Stewart Priddy

For finite coverings we elucidate the interaction between transferred Chern classes and Chern classes of transferred bundles. This involves computing the ring structure for the com…

On equivariant embeddings of G-bundles

Isomorphism and stable isomorphism in "real" and "quaternionic" K-theory

Complex cobordism modulo c1​-spherical cobordism and related genera

Complex cobordism MU∗[1/2] modulo MSU∗[1/2] and related genera

Polynomial generators of msu*[1/2] related to classifying maps of certain formal group laws

On vanishing of all fourfold products of the Ray classes in symplectic cobordism

On addition theorems related to elliptic integrals

All extensions of C2​ by C2n+1​×C2n+1​ are good

Polynomial behavior of the Honda formal group law

Morava k(s)^* -rings of the extensions of C_p by the products of good groups under diagonal action

Morava K-theory rings of the extensions of C_2 by the products of cyclic 2-groups

Some explicit expressions concerning formal group laws

Computing the Krichever genus

K^*(BG) rings for groups G=G38​,...,G41​ of order 32

Mod 2 Morava K-theory for Frobenius complements of exponent dividing 2^n 9

Transfer and complex oriented cohomology rings

Complex cobordism modulo $c_{1}$ -spherical cobordism and related genera

Complex cobordism MU $^{} [1/2]$ modulo MSU $^{} [1/2]$ and related genera

All extensions of $C_{2}$ by $C_{2^{n + 1}} \times C_{2^{n + 1}}$ are good

K^*(BG) rings for groups $G = G_{38}, ..., G_{41}$ of order 32