Topological strings on genus one fibered Calabi-Yau 3-folds and string dualities
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep11(2019)170
Abstract: Abstract We calculate the generating functions of BPS indices using their modular properties in Type II and M-theory compactifications on compact genus one fibered CY 3-folds with singular fibers and additional rational sections or just… read more here.
Keywords: genus one; generating functions; string dualities; one fibered ... See more keywords
THE LIPMAN–ZARISKI CONJECTURE IN GENUS ONE HIGHER
Sign Up to like & getrecommendations! Published in 2020 at "Forum of Mathematics, Sigma"
DOI: 10.1017/fms.2020.19
Abstract: We prove the Lipman–Zariski conjecture for complex surface singularities with $p_{g}-g-b\leqslant 2$. Here $p_{g}$ is the geometric genus, $g$ is the sum of the genera of exceptional curves and $b$ is the first Betti number… read more here.
Keywords: genus one; one higher; conjecture genus; zariski conjecture ... See more keywords
Classification of nonlocal rings with genus one 3-zero-divisor hypergraphs
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DOI: 10.1080/00927872.2016.1206344
Abstract: ABSTRACT Let R be a commutative ring with identity and let Z(R,k) be the set of all k-zero-divisors in R and k>2 an integer. The k-zero-divisor hypergraph of R, denoted by ℋk(R), is a hypergraph… read more here.
Keywords: genus one; classification nonlocal; zero divisor; rings genus ... See more keywords
WKB method and quantum periods beyond genus one
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aae8b0
Abstract: We extend topological string methods in order to perform WKB approximations for quantum mechanical problems with higher order potentials efficiently. This requires techniques for the evaluation of the relevant quantum periods for Riemann surfaces beyond… read more here.
Keywords: quantum; genus one; beyond genus; quantum periods ... See more keywords
Distinguishing Some Genus One Knots Using Finite Quotients
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DOI: 10.1142/s0218216523500359
Abstract: We give a criterion for distinguishing a prime knot $K$ in $S^3$ from every other knot in $S^3$ using the finite quotients of $\pi_1(S^3\setminus K)$. Using recent work of Baldwin-Sivek, we apply this criterion to… read more here.
Keywords: distinguishing genus; finite quotients; using finite; one knots ... See more keywords