Persons: Gugnin, Dmitry Vladimirovich

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Gugnin, Dmitry Vladimirovich

Total publications:	15 (14)
in MathSciNet:	10 (10)
in zbMATH:	6 (6)
in Web of Science:	4 (4)
in Scopus:	10 (10)
Cited articles:	8
Citations:	24
Presentations:	21

Number of views:
This page:	1777
Abstract pages:	3593
Full texts:	1010
References:	512

Candidate of physico-mathematical sciences (2010)

Speciality:

01.01.04 (Geometry and topology)

E-mail:

Keywords:

symmetric products, Riemann surfaces, branched coverings

UDC:

515.14, 512.552

Subject:

topology of symmetric products of CW-complexes and Riemann surfaces, branched coverings of manifolds

Main publications:

D. V. Gugnin, “Topologicheskie prilozheniya graduirovannykh n-gomomorfizmov Frobeniusa II”, Trudy Moskovskogo matematicheskogo obschestva, 73:2 (2012), 207-228

https://www.mathnet.ru/eng/person18979

List of publications on Google Scholar

https://mathscinet.ams.org/mathscinet/MRAuthorID/776228

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2024
1.	A. A. Ayzenberg, D. V. Gugnin, “On actions of tori and quaternionic tori on products of spheres”, Topology, Geometry, Combinatorics, and Mathematical Physics, Collected papers. Dedicated to Victor Matveevich Buchstaber on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 326, Steklov Math. Inst., Moscow, 2024
2.	Anton A. Ayzenberg, Dmitry V. Gugnin, “Topology of Misorientation Spaces”, Proc. Steklov Inst. Math., 325 (2024), 1–20
3.	D. V. Gugnin, “The integral cohomology ring of symmetric products of CW-complexes and topology of symmetric products of Riemann surfaces”, Topology, Geometry, Combinatorics, and Mathematical Physics, Collected papers. Dedicated to Victor Matveevich Buchstaber on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 326, Steklov Math. Inst., Moscow, 2024
4.	Topologiya, geometriya, kombinatorika i matematicheskaya fizika, Sbornik statei. K 80-letiyu chlena-korrespondenta RAN Viktora Matveevicha Bukhshtabera, Trudy MIAN, 326, ed. A. A. Gaifullin, T. E. Panov, D. V. Gugnin, N. Yu. Erokhovets, MIAN, M., 2024 , 398 pp.

2023
5.	D. V. Gugnin, “On the structure of coset $n$-valued topological groups on $S^3$ and $\mathbb{R}P^3$”, Funct. Anal. Appl., 57:1 (2023), 71–73
6.	D. V. Gugnin, “On Nonfree Actions of Commuting Involutions on Manifolds”, Math. Notes, 113:6 (2023), 770–776

2022
7.	D. V. Gugnin, “Any Suspension and Any Homology Sphere Are $2H$-Spaces”, Proc. Steklov Inst. Math., 318 (2022), 45–58


8.	D. V. Gugnin, Funktsional. Anal. i Prilozhen.

2018
9.	D. V. Gugnin, “Lower Bounds for the Degree of a Branched Covering of a Manifold”, Math. Notes, 103:2 (2018), 187–195

2016
10.	Dmitry V. Gugnin, On Homeomorphism Type of Symmetric Products of Compact Riemann Surfaces with Punctures, 2016, 9 pp., arXiv: arxiv.org/abs/1606.00453

2012
11.	D. V. Gugnin, “Topological applications of graded Frobenius $n$-homomorphisms, II”, Trans. Moscow Math. Soc., 2012, 167–182

2011
12.	D. V. Gugnin, “Topological applications of graded Frobenius $n$-homomorphisms”, Trans. Moscow Math. Soc., 2011, 97–142

2009
13.	D. V. Gugnin, “Polynomially Dependent Homomorphisms and Frobenius $n$-Homomorphisms”, Proc. Steklov Inst. Math., 266 (2009), 59–90

2007
14.	D. V. Gugnin, “Polynomially dependent homomorphisms. Uniqueness theorem for Frobenius $n$-homomorphisms”, Russian Math. Surveys, 62:5 (2007), 993–995

2005
15.	D. V. Gugnin, “On continuous and irreducible Frobenius $n$-homomorphisms”, Russian Math. Surveys, 60:5 (2005), 967–969

Presentations in Math-Net.Ru

1.	Branched coverings of manifolds of dimension greater than 2: classical and new results D. V. Gugnin Algebraic topology and its applications. Postnikov memorial seminar March 7, 2023 16:45
2.	On branched coverings of manifolds of dimension greater than two: classical and new results D. V. Gugnin Algebraic topology and its applications. Postnikov memorial seminar February 14, 2023 16:45
3.	$2H$-spaces: algebraic obstructions and geometric constructions D. V. Gugnin Algebraic topology and its applications. Postnikov memorial seminar November 22, 2022 16:45
4.	$n$-valued topological groups and $nH$-spaces D. V. Gugnin Algebraic topology and its applications. Postnikov memorial seminar November 15, 2022 16:45
5.	Любая надстройка и любая гомологическая сфера являются $2H$-пространствами D. V. Gugnin November 8, 2022 15:45
6.	Every suspension and every homology sphere is a $2H$-space D. V. Gugnin Geometric Topology Seminar October 19, 2022 17:00
7.	Разветвленные накрытия многообразий над сферами. D. V. Gugnin International Laboratory of Algebraic Topology and Its Applications Seminar April 9, 2021 18:10
8.	О разветвленных накрытиях многообразий над сферами D. V. Gugnin Noncommutative geometry and topology April 8, 2021 16:45
9.	$n$-homomorphisms and the $gt_n$-formula: lower bounds for the degree of branched coverings of (algebraic) varieties D. V. Gugnin Lie groups and invariant theory November 20, 2019 16:45
10.	The theory of Frobenius $n$-homomorphisms and the $gt_n$-formula D. V. Gugnin Geometric Topology Seminar October 30, 2019 17:00
11.	Lower bounds for the degree of branched coverings of manifolds: gt_n-formula D. V. Gugnin Algebraic topology and its applications. Postnikov memorial seminar October 29, 2019 16:45
12.	Lower bounds for the degree of ramified coverings of manifolds: the method of the $gt_n$-formula D. V. Gugnin Geometric Topology Seminar October 23, 2019 17:00
13.	Lower Bounds for the Degree of a Branched Covering of a Manifold Dmitry V. Gugnin International conference "Algebraic Topology, Combinatorics, and Mathematical Physics" on occasion of Victor Buchstaber's 75th birthday May 24, 2018 17:50
14.	On integral cohomology rings of symmetric products D. V. Gugnin British-Russian Seminar on Toric Topology and Homotopy Theory March 14, 2017 14:00
15.	Когомологии симметрических степеней CW комплексов и Римановых поверхностей D. V. Gugnin Algebraic topology and its applications. Postnikov memorial seminar February 28, 2017 16:45
16.	Решение гипотезы Благоевича–Груича–Живалевича о симметрических степенях компактных Римановых поверхностей с проколами D. V. Gugnin Knots and Representation Theory November 29, 2016 18:30
17.	О топологическом типе симметричесих степеней римановых проверхностей с проколами D. V. Gugnin Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) August 10, 2016 14:00
18.	Топология-3, лекция 7 D. V. Gugnin March 24, 2016
19.	О целочисленном кольце когомологий симметрических степеней D. V. Gugnin Algebraic topology and its applications. Postnikov memorial seminar March 10, 2015 16:45
20.	Гомоморфизмы Фробениуса. Теорема единственности D. V. Gugnin Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) October 25, 2006
21.	Гомоморфизмы Фробениуса и их приложения D. V. Gugnin Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) March 22, 2006

Books in Math-Net.Ru

Topology, Geometry, Combinatorics, and Mathematical Physics, Collected papers. Dedicated to Victor Matveevich Buchstaber on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 326, ed. A. A. Gaifullin, T. E. Panov, D. V. Gugnin, N. Yu. Erokhovets, 2024, 398 с.
http://mi.mathnet.ru/book1988

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