Browsing by Author "Tuite, Michael P."
Now showing items 21-40 of 41
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On Genus Two Riemann Surfaces Formed from Sewn Tori
Mason, Geoffrey; Tuite, Michael P. (2006)We describe the period matrix and other data on a higher genus Riemann surface in terms of data coming from lower genus surfaces via an explicit sewing procedure. We consider in detail the construction of a genus two Riemann ... -
On the relationship between monstrous moonshine and the uniqueness of the moonshine module
Tuite, Michael P. (Springer Nature, 1995-01-01)We consider the relationship between the conjectured uniqueness of the Moonshine Module, V-h, and Monstrous Moonshine, the genus zero property of the modular invariance group for each Monster group Thompson series. We first ... -
On the Torus degeneration of the genus two partition function
Hurley, Donny; Tuite, Michael P. (World Scientific Publishing, 2013-07-16)We consider the partition function of a general vertex operator algebra V on a genus two Riemann surface formed by sewing together two tori. We consider the non-trivial degeneration limit where one torus is pinched down ... -
Partition functions and chiral algebras.
Tuite, Michael P. (American Mathematical Society, 2007-05)We discuss recent work of the authors concerning correlation functions and partition functions for free bosons/fermions and the b-c or ghost system. We compare and contrast the nature of the 1-point functions at genus 1, ... -
Rational Generalised Moonshine from Abelian Orbifoldings of the Moonshine Module
Ivanov, Rossen I.; Tuite, Michael P. (2001)We consider orbifoldings of the Moonshine Module with respect to the abelian group generated by a pair of commuting Monster group elements with one of prime order $p=2,3,5,7$ and the other of order $pk$ for $k=1$ or $k$ ... -
Rational generalised moonshine from abelian orbifoldings of the moonshine module
Ivanov, Rossen; Tuite, Michael P. (Elsevier BV, 2002-07-01) -
Some Generalizations of the MacMahon Master Theorem
Tuite, Michael P. (2011)We consider a number of generalizations of the $\beta$-extended MacMahon Master Theorem for a matrix. The generalizations are based on replacing permutations on multisets formed from matrix indices by partial permutations ... -
Some generalizations of the macmahon master theorem
Tuite, Michael P. (Elsevier BV, 2013-01-01) -
Some irrational generalised moonshine from orbifolds
Ivanov, Rossen; Tuite, Michael P. (Elsevier BV, 2002-07-01) -
Some Irrational Generalised Moonshine from Orbifolds
Ivanov, Rossen I.; Tuite, Michael P. (2002)We verify the Generalised Moonshine conjectures for some irrational modular functions for the Monster centralisers related to the Harada-Norton, Held, $M_{12}$ and $L_3(3)$ simple groups based on certain orbifolding ... -
The Szegö Kernel on a Sewn Riemann Surface
Tuite, Michael P.; Zuevsky, Alexander (2010)We describe the Szegö kernel on a higher genus Riemann surface in terms of Szegö kernel data coming from lower genus surfaces via two explicit sewing procedures where either two Riemann surfaces are sewn together or a ... -
The szegő kernel on a sewn riemann surface
Tuite, Michael P.; Zuevsky, Alexander (Springer Nature, 2011-07-30)We describe the SzegA kernel on a higher genus Riemann surface in terms of SzegA kernel data coming from lower genus surfaces via two explicit sewing procedures where either two Riemann surfaces are sewn together or a ... -
Torus chiral n -point functions for free boson and lattice vertex operator algebras
Mason, Geoffrey; Tuite, Michael P. (Springer Nature, 2003-04-01)We obtain explicit expressions for all genus one chiral n-point functions for free bosonic and lattice vertex operator algebras. We also consider the elliptic properties of these functions. -
Torus Chiral n-Point Functions for Free Boson and Lattice Vertex Operator Algebras
Mason, Geoffrey; Tuite, Michael P. (2002)We obtain explicit expressions for all genus one chiral n-point functions for free bosonic and lattice vertex operator algebras. We also consider the elliptic properties of these functions. -
Torus n-point functions for $${\mathbb{r}}$$ -graded vertex operator superalgebras and continuous fermion orbifolds
Mason, Geoffrey; Tuite, Michael P.; Zuevsky, Alexander (Springer Nature, 2008-05-29)We consider genus one n-point functions for a vertex operator superalgebra with a real grading. We compute all n-point functions for rank one and rank two fermion vertex operator superalgebras. In the rank two fermion case, ... -
Torus n-Point Functions for $\mathbb{R}$-graded Vertex Operator Superalgebras and Continuous Fermion Orbifolds
Mason, Geoffrey; Tuite, Michael P.; Zuevsky, Alexander (2007)We consider genus one n-point functions for a vertex operator superalgebra with a real grading. We compute all n-point functions for rank one and rank two fermion vertex operator superalgebras. In the rank two fermion case, ... -
Vertex algebras according to Isaac Newton
Tuite, Michael P. (IOP Publishing, 2017-09-08)We give an introduction to vertex algebras using elementary forward difference methods originally due to Isaac Newton. -
Vertex Operators and Modular Forms
Mason, Geoffrey; Tuite, Michael P. (2009)The leitmotif of these Notes is the idea of a vertex operator algebra (VOA) and the relationship between VOAs and elliptic functions and modular forms. This is to some extent analogous to the relationship between a finite ... -
The Virasoro Algebra and Some Exceptional Lie and Finite Groups
Tuite, Michael P. (2006)We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras. These groups include the Deligne exceptional series ... -
Virasoro Correlation Functions for Vertex Operator Algebras
Hurley, Donny; Tuite, Michael P. (2011)We consider all genus zero and genus one correlation functions for the Virasoro vacuum descendants of a vertex operator algebra. These are described in terms of explicit generating functions that can be combinatorially ...