Trisection embeddings of non-orientable 4-manifolds Abhijeet Ghanwat, Suhas Pandit, Selvakumar A. Journal of Knot Theory and Its Ramifications, 2026 In this paper, we discuss a relative trisection embedding of a compact non-orientable [Formula: see text]-manifold with connected boundary into a trivial relative trisection of [Formula: see text].
Open book embeddings of 3-manifolds after link sum with S1 × S2 along links with two components Abhijeet Ghanwat, Suhas Pandit, Sanjay Kute Journal of Knot Theory and Its Ramifications, 2026 Open book embedding of closed orientable [Formula: see text]-manifolds into an open book of the [Formula: see text]-sphere [Formula: see text] is an open problem. In this paper, we discuss open book embeddings of [Formula: see text]-manifolds into the trivial open book of [Formula: see text]. More precisely, we show that given a closed orientable [Formula: see text]-manifold [Formula: see text], there exist two disjoint knots [Formula: see text] and [Formula: see text] in [Formula: see text] such that the manifold [Formula: see text] obtained from [Formula: see text] by taking a link sum of [Formula: see text] and [Formula: see text] along [Formula: see text] and [Formula: see text] admits an open book which open book embeds into the trivial open book of [Formula: see text] where [Formula: see text] and [Formula: see text] are the south and north poles of [Formula: see text], respectively.
A note on trisections of 3-manifolds Abhijeet Ghanwat, Suhas Pandit, A Selvakumar Proceedings of the Indian Academy of Sciences Mathematical Sciences, 2025
Murasugi sum of k –open books Abhijeet Ghanwat, Suhas Pandit, Selvakumar A. Indian Journal of Pure and Applied Mathematics, 2025
Symplectic submanifolds of D2×Y4 Abhijeet Ghanwat, Suhas Pandit Proceedings of the Indian Academy of Sciences Mathematical Sciences, 2024
A note on Murasugi sum of trivially extendable relative trisections Abhijeet Ghanwat, Suhas Pandit, A. Selvakumar Journal of Knot Theory and Its Ramifications, 2024 A relative trisection of a compact [Formula: see text]-manifold with connected boundary is said to be a Trivially Extendable (TE)-relative trisection if the boundary monodromy of the relative trisection is the identity map. We call a relative trisection diagram associated to a [Formula: see text]-relative trisection of a compact [Formula: see text]-manifold, a [Formula: see text]-relative trisection diagram. Due to a work of Castro and Ozbagci, there is a natural way to associate a trisection diagram to a [Formula: see text]-relative trisection diagram. In fact, every closed oriented [Formula: see text]-manifold can be realized as a [Formula: see text]-relative trisection. In this paper, we study the notion of Murasugi sum of [Formula: see text]-relative trisection diagrams. We show that a trisection diagram associated to a Murasugi sum of two [Formula: see text]-relative trisection diagrams [Formula: see text] and [Formula: see text] is diffeomorphism and handle slide equivalent to the connected sum of the trisection diagrams associated to [Formula: see text] and [Formula: see text]. This implies that the closed oriented [Formula: see text]-manifold associated to the Murasugi sum of [Formula: see text]-relative trisection diagrams [Formula: see text] and [Formula: see text] is the connected sum of the closed [Formula: see text]-manifolds associated to [Formula: see text] and [Formula: see text]. Thus, the notion of Murasugi sum can be considered for closed [Formula: see text]-manifolds in terms of [Formula: see text]-relative trisections. Finally, we discuss an external stabilization of a [Formula: see text]-relative trisection of a closed oriented [Formula: see text]-manifold. We prove that the trisection diagram associated to a stabilization of a [Formula: see text]-relative trisection diagram is diffeomorphism and handle slide equivalent to a stabilization of the trisection diagram associated to the [Formula: see text]-relative trisection diagram.
A NOTE ON FLEXIBLE IMMERSIONS Mathematics Student, 2024
Relative LF embeddings of 4-manifolds Abhijeet Ghanwat, Arijit Nath, Kuldeep Saha Proceedings of the Indian Academy of Sciences Mathematical Sciences, 2022
On embeddings of 4-manifolds in codimension 2 A Ghanwat, DM Pancholi Algebraic & Geometric Topology 26 (4), 1293-1320 , 2026 2026
A SCHEMATIC APPROACH TO MURASUGI SUMS OF RELATIVE TRISECTIONS AND BOUNDED ACHIRAL LEFSCHETZ FIBRATIONS A Ghanwat, S Pandit, S A Rocky Mountain Journal of Mathematics 56 (1), 149-172 , 2026 2026
Open book embeddings of -manifolds after link sum with along links with two components A Ghanwat, S Pandit, S Kute Journal of Knot Theory and Its Ramifications 35 (01), 2550076 , 2026 2026
Trisection embeddings of non-orientable -manifolds A Ghanwat, S Pandit, S A Journal of Knot Theory and Its Ramifications 35 (01), 2550071 , 2026 2026
A note on trisections of -manifolds A Ghanwat, S Pandit, A Selvakumar Proceedings-Mathematical Sciences 135 (1), 11 , 2025 2025
Murasugi sum of k–open books A Ghanwat, S Pandit, S A Indian Journal of Pure and Applied Mathematics 56 (1), 266-272 , 2025 2025
A note on Whitney embedding theorem A Ghanwat Indian Journal of Pure and Applied Mathematics 55 (4), 1281-1284 , 2024 2024
Symplectic submanifolds of D 2× Y 4 A Ghanwat, S Pandit Proceedings-Mathematical Sciences 134 (2), 23 , 2024 2024 Citations: 1
A note on Murasugi sum of trivially extendable relative trisections A Ghanwat, S Pandit, A Selvakumar Journal of Knot Theory and Its Ramifications 33 (04), 2450011 , 2024 2024
A NOTE ON FLEXIBLE IMMERSIONS. A GHANWAT, S PANDIT Mathematics Student 93 , 2024 2024
Lefschetz open book decompositions of -manifolds A Ghanwat, S Pandit, A Selvakumar Journal of Knot Theory and Its Ramifications 32 (04), 2350026 , 2023 2023 Citations: 1
Relative LF embeddings of 4-manifolds A Ghanwat, A Nath, K Saha Proceedings-Mathematical Sciences 132 (2), 52 , 2022 2022 Citations: 2
Lefschetz open book embeddings of 4-manifolds A Ghanwat, S Pandit, A Selvakumar Studia Scientiarum Mathematicarum Hungarica 59 (2), 142-159 , 2022 2022 Citations: 3
On embedding of 4-manifolds A Ghanwat, K Saha Indian Journal of Pure and Applied Mathematics 53 (2), 479-483 , 2022 2022
OPEN BOOKS FOR CLOSED NON-ORIENTABLE 3–MANIFOLDS A Ghanwat, S Pandit, A Selvakumar Glasgow Mathematical Journal 62 (3), 584-599 , 2020 2020 Citations: 3
Open book embeddings of closed non-orientable 3-manifolds A Ghanwat, S Pandit, S A The Rocky Mountain Journal of Mathematics 49 (4), 1143-1168 , 2019 2019 Citations: 8
MOST CITED SCHOLAR PUBLICATIONS
Open book embeddings of closed non-orientable 3-manifolds A Ghanwat, S Pandit, S A The Rocky Mountain Journal of Mathematics 49 (4), 1143-1168 , 2019 2019 Citations: 8
Lefschetz open book embeddings of 4-manifolds A Ghanwat, S Pandit, A Selvakumar Studia Scientiarum Mathematicarum Hungarica 59 (2), 142-159 , 2022 2022 Citations: 3
OPEN BOOKS FOR CLOSED NON-ORIENTABLE 3–MANIFOLDS A Ghanwat, S Pandit, A Selvakumar Glasgow Mathematical Journal 62 (3), 584-599 , 2020 2020 Citations: 3
Relative LF embeddings of 4-manifolds A Ghanwat, A Nath, K Saha Proceedings-Mathematical Sciences 132 (2), 52 , 2022 2022 Citations: 2
Symplectic submanifolds of D 2× Y 4 A Ghanwat, S Pandit Proceedings-Mathematical Sciences 134 (2), 23 , 2024 2024 Citations: 1
Lefschetz open book decompositions of -manifolds A Ghanwat, S Pandit, A Selvakumar Journal of Knot Theory and Its Ramifications 32 (04), 2350026 , 2023 2023 Citations: 1
On embeddings of 4-manifolds in codimension 2 A Ghanwat, DM Pancholi Algebraic & Geometric Topology 26 (4), 1293-1320 , 2026 2026
A SCHEMATIC APPROACH TO MURASUGI SUMS OF RELATIVE TRISECTIONS AND BOUNDED ACHIRAL LEFSCHETZ FIBRATIONS A Ghanwat, S Pandit, S A Rocky Mountain Journal of Mathematics 56 (1), 149-172 , 2026 2026
Open book embeddings of -manifolds after link sum with along links with two components A Ghanwat, S Pandit, S Kute Journal of Knot Theory and Its Ramifications 35 (01), 2550076 , 2026 2026
Trisection embeddings of non-orientable -manifolds A Ghanwat, S Pandit, S A Journal of Knot Theory and Its Ramifications 35 (01), 2550071 , 2026 2026
A note on trisections of -manifolds A Ghanwat, S Pandit, A Selvakumar Proceedings-Mathematical Sciences 135 (1), 11 , 2025 2025
Murasugi sum of k–open books A Ghanwat, S Pandit, S A Indian Journal of Pure and Applied Mathematics 56 (1), 266-272 , 2025 2025
A note on Whitney embedding theorem A Ghanwat Indian Journal of Pure and Applied Mathematics 55 (4), 1281-1284 , 2024 2024
A note on Murasugi sum of trivially extendable relative trisections A Ghanwat, S Pandit, A Selvakumar Journal of Knot Theory and Its Ramifications 33 (04), 2450011 , 2024 2024
A NOTE ON FLEXIBLE IMMERSIONS. A GHANWAT, S PANDIT Mathematics Student 93 , 2024 2024
On embedding of 4-manifolds A Ghanwat, K Saha Indian Journal of Pure and Applied Mathematics 53 (2), 479-483 , 2022 2022
