Publications
B. Basak and S. Sarkar: A structure theorem for homology 4-manifolds with g2 ≤ 5, Adv. in Appl. Math. 157 (2024), Paper No. 102705, 26 pp.
B. Basak and M. Binjola: On regular genus and G-Degree of PL 4-manifolds with boundary, J. Indian Math. Soc. (N.S.) 91 (1–2) (2024), 155–170. [pdf]
B. Basak, R. K. Gupta and S. Sarkar: A characterization of normal 3-pseudomanifolds with at most two singularities, Discrete Math. 346 (12) (2023), Paper No. 113588, 15 pp. [pdf]
Basak and M. Binjola: Minimal crystallizations of 3-manifolds with boundary, Beitr. Algebra Geom. 63 (2022), 907–919. [pdf]
B. Basak and M. Binjola: Lower bounds for regular genus and gem-complexity of PL 4-manifolds with boundary, Forum Math. 33(2) (2021), 289–304. [pdf]
B. Basak and E. Swartz: Three-dimensional normal pseudomanifolds with relatively few edges, Advances in Mathematics 365 (2020) 107035 [pdf] [Video]
B. Basak: Regular genus and gem-complexity of some mapping tori, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 113 (3) (2019), 2479 – 2493. [pdf]
B. Basak: Genus-minimal crystallizations of PL 4-manifolds, Beitr. Algebra Geom. 59 (1) (2018), 101–111. [pdf]
B. Basak: 3-regular colored graphs and classification of surfaces, Discrete Comput. Geom. 58 (2) (2017), 345–354. [pdf]
B. Basak and M. R. Casali: Lower bounds for regular genus and gem-complexity of PL 4-manifolds, Forum Math. 29 (4) (2017), 761–773. [pdf]
B. Basak: An algorithmic approach to construct crystallizations of 3-manifolds from presentations of fundamental groups, Proc. Indian Acad. Sci. (Math. Sci.) 126 (4) (2016), 629–653. [pdf]
B. Basak and J. Spreer: Simple crystallizations of 4-manifolds, Adv. Geom. 16 (1) (2016), 111–130. [pdf]
B. Basak and S. Sarkar: Equivariant and equilibrium triangulations of some small covers with the minimum number of vertices, J. Ramanujan Math. Soc. 30 (1) (2015), 29–50. [pdf]
B. Basak and B. Datta: Minimal crystallizations of 3-manifolds, Electron. J. Combin. 21 (1) (2014), #P1.61, 1–25. [pdf]
B. Basak, R. K. Gupta and S. Sarkar: A characterization of $g_2$-minimal normal 3-pseudomanifolds with at most four singularities, 2024, 10 pages, Topological Methods in Nonlinear Analysis (accepted for publication). [pdf]
B. Basak and M. Binjola: Handle decomposition of compact orientable 4-manifolds, 2024, 13 pages, Indian J. Pure Appl. Math. (accepted for publication). [pdf]
Biplab Basak and Manisha Binjola: Semi-equivale gems of PL d-manifolds, 2024, 13 pages, Beitr. Algebra Geom. (accepted for publication). [pdf]
B. Basak and R. K. Gupta: A characterization of normal 3-pseudomanifolds with $g_2 \leq 4$, 2024, 13 pages (under review). [pdf]
B. Basak and S. Sarkar: A characterization of homology $d$-manifolds with $g_2 \leq 3$, 2024, 27 pages (under review). [pdf]