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pro vyhledávání: '"Paul, Pravakar"'
Autor:
Paul, Pravakar, Saikia, Manjil P.
In this paper, we give inductive sum formulas to calculate the number of diagonally symmetric, and diagonally \& anti-diagonally symmetric domino tilings of Aztec Diamonds. As a byproduct, we also find such a formula for the unrestricted case as well
Externí odkaz:
http://arxiv.org/abs/2410.23324
Autor:
Paul, Pravakar
In this paper, we apply the state sum decomposition method to derive a closed formula for the enumeration of lozenge tilings of the region constructed out of a regular hexagon by removing the "maximal staircase" from its alternating corners. This pro
Externí odkaz:
http://arxiv.org/abs/2410.12751
Autor:
Paul, Pravakar, Saikia, Manjil P.
We build a new perspective to count perfect matchings of a given graph. This idea is motivated by a construction on the relative cohomology group of surfaces. As an application of our theory, we reprove the celebrated Aztec Diamond theorem, and show
Externí odkaz:
http://arxiv.org/abs/2408.10273
The Lipshitz-Sarkar Steenrod operations on (even) Khovanov homology are incompatible with Szab\'{o}'s geometric spectral sequence. Obstructions to integral lifting and spectrification are observed.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/2112.09030
Autor:
Paul, Pravakar
In an attempt to consolidate Szabo's geometric chain complex and Bar\hyp Natan's chain complex, Sarkar-Seed-Szabo defined a total complex $CTot(L)$ over $\mathbb{F}_{2}$ by adding some extra terms $\{h_{i} \}_{i=2}^{\infty}$ in the differential. In t
Externí odkaz:
http://arxiv.org/abs/2111.08612
Publikováno v:
In Topology and its Applications 1 February 2023 324
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