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Gugnin, Dmitry Vladimirovich

Total publications: 15 (14)
in MathSciNet: 10 (10)
in zbMATH: 5 (5)
in Web of Science: 4 (4)
in Scopus: 9 (9)
Cited articles: 7
Citations: 21
Presentations: 21

Number of views:
This page:1679
Abstract pages:3103
Full texts:910
References:386
Gugnin, Dmitry Vladimirovich
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:
  1. D. V. Gugnin, “Topologicheskie prilozheniya graduirovannykh n-gomomorfizmov Frobeniusa II”, Trudy Moskovskogo matematicheskogo obschestva, 73:2 (2012), 207-228  mathnet

https://www.mathnet.ru/eng/person18979
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/776228

Full 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 (to appear)  mathnet
2. A. A. Ayzenberg, D. V. Gugnin, “Topology of misorientation spaces”, Geometry, Topology, and Mathematical Physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 85th birthday, Trudy Mat. Inst. Steklova, 325, Steklov Mathematical Institute of RAS, Moscow, 2024  mathnet  crossref
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 (to appear)  mathnet
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  mathnet

   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  mathnet  crossref  crossref  mathscinet  scopus
6. D. V. Gugnin, “On Nonfree Actions of Commuting Involutions on Manifolds”, Math. Notes, 113:6 (2023), 770–776  mathnet  crossref  crossref  mathscinet  scopus

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

  
8. D. V. Gugnin, Funktsional. Anal. i Prilozhen.  mathnet  crossref  mathscinet  elib

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

   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  mathnet  crossref  mathscinet  zmath  elib  elib  scopus

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

   2009
13. D. V. Gugnin, “Polynomially Dependent Homomorphisms and Frobenius $n$-Homomorphisms”, Proc. Steklov Inst. Math., 266 (2009), 59–90  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2007
14. D. V. Gugnin, “Polynomially dependent homomorphisms. Uniqueness theorem for Frobenius $n$-homomorphisms”, Russian Math. Surveys, 62:5 (2007), 993–995  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2005
15. D. V. Gugnin, “On continuous and irreducible Frobenius $n$-homomorphisms”, Russian Math. Surveys, 60:5 (2005), 967–969  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

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
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
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
March 22, 2006

Books in Math-Net.Ru
  1. 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
    http://mi.mathnet.ru/book1988

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