A document by Priyanka Samal. Click on the document to view its contents.

For the spacetime of 3+1 dimensions, if this can be assumed as the wormhole coordinate to be Σ where the universe for the purpose of mathematical construction satisfies the Euler-Poincare characteristics of X ≡ = 2 − 2g = 1 then there can be Σ_1 as the wormhole of g ≡ 1 in spatial dim 3 and Σ_2 as the spatial universe then: Σ_1 , Σ_2 ∈ Σ-This is easy to show that for the 3-manifolds as our mathematical universe, we can apply Heegaard splitting to split the wormhole from the mathematical universe. Comments-This shows the linkage of topology with the Einstein-Rosen Bridge in a mathematical universe.

A document by Priyanka Samal. Click on the document to view its contents.

Any Frobenius manifold associated with a cohomological field theory is analogous to Gromov-Witten connection for Fan-Jarvis-Ruan-Witten Theory where A-model is better termed as Landau-Ginzburg A-model while its mirror symmetry relates to the B-model through a degenerate critical point of Landau-Ginzburg theory with Calabi-Yau manifolds for N=2 as concerned over sigma models relating the two as the same theory.