Korablev Philipp Glebovich

Publications in Math-Net.Ru

1. Invariants of links and $3$-manifolds from the modular category with two simple objects
   
   Mat. Tr., 28:1 (2025),  39–93
2. Vortex group for knots and links in a 3-sphere
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 31:4 (2025),  203–213
3. Fibonacci representations of braid groups
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 30:4 (2024),  149–169
4. Homologically trivial part of the Turaev – Viro invariant order $7$
   
   Sib. Èlektron. Mat. Izv., 19:2 (2022),  698–707
5. Configuration homological ${\mathbb Z}_2$-invariants of manifolds
   
   Chelyab. Fiz.-Mat. Zh., 6:4 (2021),  427–439
6. Quandles, quasoids and projections
   
   Sib. Èlektron. Mat. Izv., 18:2 (2021),  1261–1277
7. Cocyclic quasoid knot invariants
   
   Sibirsk. Mat. Zh., 61:2 (2020),  344–366
8. On a Yang — Baxter operator and the corresponding knots invariant
   
   Chelyab. Fiz.-Mat. Zh., 4:3 (2019),  255–264
9. Classification of low complexity knotoids
   
   Sib. Èlektron. Mat. Izv., 15 (2018),  1237–1244
10. Knotoids and knots in the thickened torus
    
    Sibirsk. Mat. Zh., 58:5 (2017),  1080–1090
11. Quazoids in knot theory
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 23:4 (2017),  212–221
12. Casson invariant for a series of 3-manifolds
    
    Chelyab. Fiz.-Mat. Zh., 1:4 (2016),  56–62
13. Manifolds of cubic complexity two
    
    Sib. Èlektron. Mat. Izv., 13 (2016),  1–15
14. Geometric representations for even cubilations
    
    Vestnik Chelyabinsk. Gos. Univ., 2015, no. 17,  18–21
15. Conway–Gordon problem for reduced complete spatial graphs
    
    Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 7:3 (2015),  16–21
16. Infinite series of Kishino type knots
    
    Sib. Èlektron. Mat. Izv., 11 (2014),  975–980
17. Triviality of function $\omega_2$ for spatial complete graphs
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:2 (2013),  51–60
18. Function $\omega_2$ for full bipatite spatial graphs
    
    Vestnik Chelyabinsk. Gos. Univ., 2012, no. 15,  125–128
19. The order of prime summands for virtual knots
    
    Vestnik Chelyabinsk. Gos. Univ., 2012, no. 15,  119–124
20. Uniqueness of knot roots in $F\times I$ and prime decompositions of virtual knots
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 17:4 (2011),  160–175
21. On genus two three-manifolds
    
    Vestnik Chelyabinsk. Gos. Univ., 2009, no. 11,  105–121
22. On a family of graph manifolds of genus 2
    
    Vestnik Chelyabinsk. Gos. Univ., 2009, no. 11,  97–104
23. Graph manifolds genus 2
    
    Vestnik Chelyabinsk. Gos. Univ., 2008, no. 10,  94–100
24. Classification of Heegaard diagrams of genus three
    
    Fundam. Prikl. Mat., 11:5 (2005),  91–97