Dr Abhijeet Atmaram Ghanwat
Assistant Professor Grade I (Maths)
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Publications

  • A. Ghanwat, S. Pandit and S. Kute, Open book embeddings of $3$--manifolds after link sum with $S^1\times S^2$ along links with two components, Accepted for publication in Journal of Knot Theory and Its Ramifications, August 2025.
  • A. Ghanwat, S. Pandit and A. Selvakumar, Trisection embeddings of non-orientable $4$--manifolds, Accepted for publication in Journal of Knot Theory and Its Ramifications, August 2025.
  • A. Ghanwat and D. Pancholi, On embeddings of $4$--manifolds in co-dimension $2$, Accepted for publication in Algebraic & Geometric Topology, May 2025.
  • A. Ghanwat, S. Pandit and A. Selvakumar, A note on pseudo-trisections of $4$--manifolds, Accepted for publication in Rocky Mountain Journal of Mathematics, March 2025.
  • A. Ghanwat, S. Pandit and A. Selvakumar, A note on trisections of 3-manifolds, Accepted for publication in Indian Academy of Sciences: Proceedings--Mathematical Sciences, Jan 2025.
  • A. Ghanwat, S. Pandit and A. Selvakumar, A note on Murasugi sum of trivially extendable relative trisections, Journal of Knot Theory and Its Ramifications, Vol. 33, No.4, (2024).
  • A. Ghanwat and S. Pandit, Symplectic submanifolds of $D^2\times Y^4$, Accepted for publication in Proceedings--Mathematical Sciences, Vol 134, Article No. 23, (2024).
  • A. Ghanwat, S. Pandit and A. Selvakumar, A schematic approach to Murasugi sums of relative trisections and of bounded achiral Lefschetz fibrations, Accepted for publication in Rocky Mountain Journal of Mathematics, December 16, 2023.
  • A. Ghanwat, Suhas Pandit and A Selvakumar, Murasugi sum of $k$--open books, Indian Journal of Pure and Applied Mathematics, Vol. 56, (2023) 266-272.
  • A. Ghanwat, A note on Whitney embedding theorem, Indian Journal of Pure and Applied Mathematics, Vol. 55, (2024), 1281-1284.
  • A. Ghanwat, S. Pandit and A. Selvakumar, Lefschetz open book decompositions of $4-$manifolds, Journal of Knot Theory and Its Ramifications, Vol. 32, No. 4, (2023).
  • A. Ghanwat, S. Pandit and A. Selvakumar, Lefschetz open book embeddings of $4-$manifolds, Studia Sci. Math. Hungar., Vol. 59, No. 2, (2022), 142--159.
  • A. Ghanwat, A. Nath and K. Saha, Relative LF embeddings of $4$--manifolds, Indian Academy of Sciences: Proceedings. Mathematical Sciences}}, Vol. 132, No. 2, Article No. 52, (2022).
  • A. Ghanwat and K. Saha, On embedding of 4-manifolds, Indian Journal of Pure and Applied Mathematics, Vol. 53, No. 2, (2021), 479--483.
  • A. Ghanwat, S. Pandit and A. Selvakumar, Open books for closed non-orientable $3$--manifolds, Glasgow Mathematical Journal, Vol. 62, No. 3, (2019), 584--599.
  • A. Ghanwat, S. Pandit and A. Selvakumar, Open book embeddings of closed non-orientable $3$-manifolds, Rocky Mountain Journal of Mathematics, Vol. 49, No. 4 (2019), 1143-1168.